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Finding the Fourth Proportional to 2,781.09, 4,172.12 and 932.38

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Solution

The fourth proportional to 2,781.09, 4,172.12 and 932.38 is: 1,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.09 : 4,172.12 = 932.38 : x
  2. Step 2: Convert to fraction form
    2,781.09/4,172.12 = 932.38/x
  3. Step 3: Cross multiply
    2,781.09x = 4,172.12 × 932.38
  4. Step 4: Simplify right side
    2,781.09x = 3,890,001.80
  5. Step 5: Solve for x
    x = 3,890,001.80/2,781.09
  6. Step 6: Final answer
    x = 1,398.73

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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.