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Finding the Fourth Proportional to 3,229.79, 4,843.61 and 1,255.27

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Solution

The fourth proportional to 3,229.79, 4,843.61 and 1,255.27 is: 1,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.79 : 4,843.61 = 1,255.27 : x
  2. Step 2: Convert to fraction form
    3,229.79/4,843.61 = 1,255.27/x
  3. Step 3: Cross multiply
    3,229.79x = 4,843.61 × 1,255.27
  4. Step 4: Simplify right side
    3,229.79x = 6,080,049.12
  5. Step 5: Solve for x
    x = 6,080,049.12/3,229.79
  6. Step 6: Final answer
    x = 1,882.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.