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Finding the Fourth Proportional to 3,189.72, 4,781.88 and 2,149.68

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Solution

The fourth proportional to 3,189.72, 4,781.88 and 2,149.68 is: 3,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.72 : 4,781.88 = 2,149.68 : x
  2. Step 2: Convert to fraction form
    3,189.72/4,781.88 = 2,149.68/x
  3. Step 3: Cross multiply
    3,189.72x = 4,781.88 × 2,149.68
  4. Step 4: Simplify right side
    3,189.72x = 10,279,511.80
  5. Step 5: Solve for x
    x = 10,279,511.80/3,189.72
  6. Step 6: Final answer
    x = 3,222.70

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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.