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Finding the Fourth Proportional to 2,781.89, 4,172.72 and 932.87

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Solution

The fourth proportional to 2,781.89, 4,172.72 and 932.87 is: 1,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.89 : 4,172.72 = 932.87 : x
  2. Step 2: Convert to fraction form
    2,781.89/4,172.72 = 932.87/x
  3. Step 3: Cross multiply
    2,781.89x = 4,172.72 × 932.87
  4. Step 4: Simplify right side
    2,781.89x = 3,892,587.60
  5. Step 5: Solve for x
    x = 3,892,587.60/2,781.89
  6. Step 6: Final answer
    x = 1,399.26

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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.