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Finding the Fourth Proportional to 2,839.91, 4,260.27 and 892.27

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Solution

The fourth proportional to 2,839.91, 4,260.27 and 892.27 is: 1,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.91 : 4,260.27 = 892.27 : x
  2. Step 2: Convert to fraction form
    2,839.91/4,260.27 = 892.27/x
  3. Step 3: Cross multiply
    2,839.91x = 4,260.27 × 892.27
  4. Step 4: Simplify right side
    2,839.91x = 3,801,293.31
  5. Step 5: Solve for x
    x = 3,801,293.31/2,839.91
  6. Step 6: Final answer
    x = 1,338.53

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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.