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Finding the Fourth Proportional to 2,055.28, 3,082.88 and 516.28

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Solution

The fourth proportional to 2,055.28, 3,082.88 and 516.28 is: 774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.28 : 3,082.88 = 516.28 : x
  2. Step 2: Convert to fraction form
    2,055.28/3,082.88 = 516.28/x
  3. Step 3: Cross multiply
    2,055.28x = 3,082.88 × 516.28
  4. Step 4: Simplify right side
    2,055.28x = 1,591,629.29
  5. Step 5: Solve for x
    x = 1,591,629.29/2,055.28
  6. Step 6: Final answer
    x = 774.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.