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Finding the Fourth Proportional to 1,229.20, 1,843.70 and 741.92

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Solution

The fourth proportional to 1,229.20, 1,843.70 and 741.92 is: 1,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.20 : 1,843.70 = 741.92 : x
  2. Step 2: Convert to fraction form
    1,229.20/1,843.70 = 741.92/x
  3. Step 3: Cross multiply
    1,229.20x = 1,843.70 × 741.92
  4. Step 4: Simplify right side
    1,229.20x = 1,367,877.90
  5. Step 5: Solve for x
    x = 1,367,877.90/1,229.20
  6. Step 6: Final answer
    x = 1,112.82

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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.