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Finding the Fourth Proportional to 2,766.52, 4,150.81 and 2,247.78

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Solution

The fourth proportional to 2,766.52, 4,150.81 and 2,247.78 is: 3,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.52 : 4,150.81 = 2,247.78 : x
  2. Step 2: Convert to fraction form
    2,766.52/4,150.81 = 2,247.78/x
  3. Step 3: Cross multiply
    2,766.52x = 4,150.81 × 2,247.78
  4. Step 4: Simplify right side
    2,766.52x = 9,330,126.08
  5. Step 5: Solve for x
    x = 9,330,126.08/2,766.52
  6. Step 6: Final answer
    x = 3,372.51

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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.