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Finding the Fourth Proportional to 2,697.62, 4,046.44 and 1,542.56

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Solution

The fourth proportional to 2,697.62, 4,046.44 and 1,542.56 is: 2,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.62 : 4,046.44 = 1,542.56 : x
  2. Step 2: Convert to fraction form
    2,697.62/4,046.44 = 1,542.56/x
  3. Step 3: Cross multiply
    2,697.62x = 4,046.44 × 1,542.56
  4. Step 4: Simplify right side
    2,697.62x = 6,241,882.75
  5. Step 5: Solve for x
    x = 6,241,882.75/2,697.62
  6. Step 6: Final answer
    x = 2,313.85

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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.