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Finding the Fourth Proportional to 2,760.80, 4,138.19 and 1,375.16

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Solution

The fourth proportional to 2,760.80, 4,138.19 and 1,375.16 is: 2,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.80 : 4,138.19 = 1,375.16 : x
  2. Step 2: Convert to fraction form
    2,760.80/4,138.19 = 1,375.16/x
  3. Step 3: Cross multiply
    2,760.80x = 4,138.19 × 1,375.16
  4. Step 4: Simplify right side
    2,760.80x = 5,690,650.95
  5. Step 5: Solve for x
    x = 5,690,650.95/2,760.80
  6. Step 6: Final answer
    x = 2,061.24

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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.