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Finding the Fourth Proportional to 3,244.50, 4,862.19 and 2,149.62

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Solution

The fourth proportional to 3,244.50, 4,862.19 and 2,149.62 is: 3,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.50 : 4,862.19 = 2,149.62 : x
  2. Step 2: Convert to fraction form
    3,244.50/4,862.19 = 2,149.62/x
  3. Step 3: Cross multiply
    3,244.50x = 4,862.19 × 2,149.62
  4. Step 4: Simplify right side
    3,244.50x = 10,451,860.87
  5. Step 5: Solve for x
    x = 10,451,860.87/3,244.50
  6. Step 6: Final answer
    x = 3,221.41

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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.