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Finding the Fourth Proportional to 1,402.31, 1,935.19 and 781.31

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Solution

The fourth proportional to 1,402.31, 1,935.19 and 781.31 is: 1,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.31 : 1,935.19 = 781.31 : x
  2. Step 2: Convert to fraction form
    1,402.31/1,935.19 = 781.31/x
  3. Step 3: Cross multiply
    1,402.31x = 1,935.19 × 781.31
  4. Step 4: Simplify right side
    1,402.31x = 1,511,989.11
  5. Step 5: Solve for x
    x = 1,511,989.11/1,402.31
  6. Step 6: Final answer
    x = 1,078.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.