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Finding the Fourth Proportional to 2,781.07, 4,171.47 and 932.21

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Solution

The fourth proportional to 2,781.07, 4,171.47 and 932.21 is: 1,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.07 : 4,171.47 = 932.21 : x
  2. Step 2: Convert to fraction form
    2,781.07/4,171.47 = 932.21/x
  3. Step 3: Cross multiply
    2,781.07x = 4,171.47 × 932.21
  4. Step 4: Simplify right side
    2,781.07x = 3,888,677.34
  5. Step 5: Solve for x
    x = 3,888,677.34/2,781.07
  6. Step 6: Final answer
    x = 1,398.27

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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.