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Finding the Fourth Proportional to 1,892.43, 2,841.27 and 968.61

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Solution

The fourth proportional to 1,892.43, 2,841.27 and 968.61 is: 1,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.43 : 2,841.27 = 968.61 : x
  2. Step 2: Convert to fraction form
    1,892.43/2,841.27 = 968.61/x
  3. Step 3: Cross multiply
    1,892.43x = 2,841.27 × 968.61
  4. Step 4: Simplify right side
    1,892.43x = 2,752,082.53
  5. Step 5: Solve for x
    x = 2,752,082.53/1,892.43
  6. Step 6: Final answer
    x = 1,454.26

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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.