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Finding the Fourth Proportional to 2,781.41, 4,172.00 and 932.38

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Solution

The fourth proportional to 2,781.41, 4,172.00 and 932.38 is: 1,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.41 : 4,172.00 = 932.38 : x
  2. Step 2: Convert to fraction form
    2,781.41/4,172.00 = 932.38/x
  3. Step 3: Cross multiply
    2,781.41x = 4,172.00 × 932.38
  4. Step 4: Simplify right side
    2,781.41x = 3,889,874.27
  5. Step 5: Solve for x
    x = 3,889,874.27/2,781.41
  6. Step 6: Final answer
    x = 1,398.53

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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.