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Finding the Fourth Proportional to 2,781.45, 4,172.21 and 932.57

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Solution

The fourth proportional to 2,781.45, 4,172.21 and 932.57 is: 1,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.45 : 4,172.21 = 932.57 : x
  2. Step 2: Convert to fraction form
    2,781.45/4,172.21 = 932.57/x
  3. Step 3: Cross multiply
    2,781.45x = 4,172.21 × 932.57
  4. Step 4: Simplify right side
    2,781.45x = 3,890,868.00
  5. Step 5: Solve for x
    x = 3,890,868.00/2,781.45
  6. Step 6: Final answer
    x = 1,398.86

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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.