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Finding the Fourth Proportional to 2,580.14, 3,869.96 and 731.24

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Solution

The fourth proportional to 2,580.14, 3,869.96 and 731.24 is: 1,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.14 : 3,869.96 = 731.24 : x
  2. Step 2: Convert to fraction form
    2,580.14/3,869.96 = 731.24/x
  3. Step 3: Cross multiply
    2,580.14x = 3,869.96 × 731.24
  4. Step 4: Simplify right side
    2,580.14x = 2,829,869.55
  5. Step 5: Solve for x
    x = 2,829,869.55/2,580.14
  6. Step 6: Final answer
    x = 1,096.79

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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.