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Finding the Fourth Proportional to 2,747.26, 4,121.28 and 799.18

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Solution

The fourth proportional to 2,747.26, 4,121.28 and 799.18 is: 1,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.26 : 4,121.28 = 799.18 : x
  2. Step 2: Convert to fraction form
    2,747.26/4,121.28 = 799.18/x
  3. Step 3: Cross multiply
    2,747.26x = 4,121.28 × 799.18
  4. Step 4: Simplify right side
    2,747.26x = 3,293,644.55
  5. Step 5: Solve for x
    x = 3,293,644.55/2,747.26
  6. Step 6: Final answer
    x = 1,198.88

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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.