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Finding the Fourth Proportional to 3,229.92, 4,852.14 and 1,932.24

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Solution

The fourth proportional to 3,229.92, 4,852.14 and 1,932.24 is: 2,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.92 : 4,852.14 = 1,932.24 : x
  2. Step 2: Convert to fraction form
    3,229.92/4,852.14 = 1,932.24/x
  3. Step 3: Cross multiply
    3,229.92x = 4,852.14 × 1,932.24
  4. Step 4: Simplify right side
    3,229.92x = 9,375,498.99
  5. Step 5: Solve for x
    x = 9,375,498.99/3,229.92
  6. Step 6: Final answer
    x = 2,902.70

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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.