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Finding the Fourth Proportional to 2,781.33, 4,171.10 and 931.97

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Solution

The fourth proportional to 2,781.33, 4,171.10 and 931.97 is: 1,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.33 : 4,171.10 = 931.97 : x
  2. Step 2: Convert to fraction form
    2,781.33/4,171.10 = 931.97/x
  3. Step 3: Cross multiply
    2,781.33x = 4,171.10 × 931.97
  4. Step 4: Simplify right side
    2,781.33x = 3,887,314.55
  5. Step 5: Solve for x
    x = 3,887,314.55/2,781.33
  6. Step 6: Final answer
    x = 1,397.65

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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.