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Finding the Fourth Proportional to 2,247.94, 3,372.06 and 766.55

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Solution

The fourth proportional to 2,247.94, 3,372.06 and 766.55 is: 1,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.94 : 3,372.06 = 766.55 : x
  2. Step 2: Convert to fraction form
    2,247.94/3,372.06 = 766.55/x
  3. Step 3: Cross multiply
    2,247.94x = 3,372.06 × 766.55
  4. Step 4: Simplify right side
    2,247.94x = 2,584,859.59
  5. Step 5: Solve for x
    x = 2,584,859.59/2,247.94
  6. Step 6: Final answer
    x = 1,149.88

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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.