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Finding the Fourth Proportional to 2,247.14, 3,365.49 and 2,169.29

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Solution

The fourth proportional to 2,247.14, 3,365.49 and 2,169.29 is: 3,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.14 : 3,365.49 = 2,169.29 : x
  2. Step 2: Convert to fraction form
    2,247.14/3,365.49 = 2,169.29/x
  3. Step 3: Cross multiply
    2,247.14x = 3,365.49 × 2,169.29
  4. Step 4: Simplify right side
    2,247.14x = 7,300,723.80
  5. Step 5: Solve for x
    x = 7,300,723.80/2,247.14
  6. Step 6: Final answer
    x = 3,248.90

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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.