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To solve the problem, we need to use proportional reasoning to find out how much it would cost to buy 2.6 pounds of steak, given that 4 pounds cost $45.80.

### Steps:

1. **Find the cost per pound of steak**:
   Since 4 pounds of steak cost $45.80, the cost per pound is:
   \[
   \text{Cost per pound} = \frac{45.80}{4} = 11.45 \, (\text{dollars per pound})
   \]

2. **Multiply by the number of pounds (2.6)**:
   Now that we know the cost per pound, multiply it by 2.6 pounds to find the total cost:
   \[
   \text{Cost for 2.6 pounds} = 11.45 \times 2.6 = 29.77
   \]

So, the cost to buy 2.6 pounds of steak is **$29.77**.

Would you like further explanation or have any other questions?

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Here are five related questions for practice:
1. How much would 3 pounds of steak cost if 4 pounds cost $45.80?
2. If 5 pounds of steak cost $57.25, how much would 2.5 pounds cost?
3. If the price per pound increases to $12, how much would 2.6 pounds cost?
4. How much would 10 pounds of steak cost at the same price per pound?
5. If you only have $30, how many pounds of steak could you buy?

**Tip**: When dealing with proportional problems, always start by calculating the unit price.

At the neighborhood grocery, 4 pounds of steak cost $45.80. How much would it cost to buy 2.6 pounds of steak?

Learn how to solve a proportional reasoning problem: Given that 4 pounds of steak cost $45.80, find the cost of 2.6 pounds of steak. This problem involves calculating unit rates and applying proportional reasoning. Suitable for students in Grades 6-8.

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