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Finding the Fourth Proportional to 2,772.78, 4,158.02 and 1,128.21

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Solution

The fourth proportional to 2,772.78, 4,158.02 and 1,128.21 is: 1,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.78 : 4,158.02 = 1,128.21 : x
  2. Step 2: Convert to fraction form
    2,772.78/4,158.02 = 1,128.21/x
  3. Step 3: Cross multiply
    2,772.78x = 4,158.02 × 1,128.21
  4. Step 4: Simplify right side
    2,772.78x = 4,691,122.56
  5. Step 5: Solve for x
    x = 4,691,122.56/2,772.78
  6. Step 6: Final answer
    x = 1,691.85

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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.