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Finding the Fourth Proportional to 1,781.31, 2,672.18 and 742.02

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Solution

The fourth proportional to 1,781.31, 2,672.18 and 742.02 is: 1,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.31 : 2,672.18 = 742.02 : x
  2. Step 2: Convert to fraction form
    1,781.31/2,672.18 = 742.02/x
  3. Step 3: Cross multiply
    1,781.31x = 2,672.18 × 742.02
  4. Step 4: Simplify right side
    1,781.31x = 1,982,812.86
  5. Step 5: Solve for x
    x = 1,982,812.86/1,781.31
  6. Step 6: Final answer
    x = 1,113.12

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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.