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Finding the Fourth Proportional to 3,189.92, 4,780.22 and 2,267.28

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Solution

The fourth proportional to 3,189.92, 4,780.22 and 2,267.28 is: 3,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.92 : 4,780.22 = 2,267.28 : x
  2. Step 2: Convert to fraction form
    3,189.92/4,780.22 = 2,267.28/x
  3. Step 3: Cross multiply
    3,189.92x = 4,780.22 × 2,267.28
  4. Step 4: Simplify right side
    3,189.92x = 10,838,097.20
  5. Step 5: Solve for x
    x = 10,838,097.20/3,189.92
  6. Step 6: Final answer
    x = 3,397.61

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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.