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Finding the Fourth Proportional to 2,685.20, 4,027.82 and 737.42

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Solution

The fourth proportional to 2,685.20, 4,027.82 and 737.42 is: 1,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.20 : 4,027.82 = 737.42 : x
  2. Step 2: Convert to fraction form
    2,685.20/4,027.82 = 737.42/x
  3. Step 3: Cross multiply
    2,685.20x = 4,027.82 × 737.42
  4. Step 4: Simplify right side
    2,685.20x = 2,970,171.20
  5. Step 5: Solve for x
    x = 2,970,171.20/2,685.20
  6. Step 6: Final answer
    x = 1,106.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.