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Finding the Fourth Proportional to 3,115.20, 4,663.20 and 2,769.60

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Solution

The fourth proportional to 3,115.20, 4,663.20 and 2,769.60 is: 4,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.20 : 4,663.20 = 2,769.60 : x
  2. Step 2: Convert to fraction form
    3,115.20/4,663.20 = 2,769.60/x
  3. Step 3: Cross multiply
    3,115.20x = 4,663.20 × 2,769.60
  4. Step 4: Simplify right side
    3,115.20x = 12,915,198.72
  5. Step 5: Solve for x
    x = 12,915,198.72/3,115.20
  6. Step 6: Final answer
    x = 4,145.87

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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.