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Finding the Fourth Proportional to 2,781.19, 4,172.45 and 932.31

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Solution

The fourth proportional to 2,781.19, 4,172.45 and 932.31 is: 1,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.19 : 4,172.45 = 932.31 : x
  2. Step 2: Convert to fraction form
    2,781.19/4,172.45 = 932.31/x
  3. Step 3: Cross multiply
    2,781.19x = 4,172.45 × 932.31
  4. Step 4: Simplify right side
    2,781.19x = 3,890,016.86
  5. Step 5: Solve for x
    x = 3,890,016.86/2,781.19
  6. Step 6: Final answer
    x = 1,398.69

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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.