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Finding the Fourth Proportional to 2,725.82, 3,735.42 and 2,463.38

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Solution

The fourth proportional to 2,725.82, 3,735.42 and 2,463.38 is: 3,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.82 : 3,735.42 = 2,463.38 : x
  2. Step 2: Convert to fraction form
    2,725.82/3,735.42 = 2,463.38/x
  3. Step 3: Cross multiply
    2,725.82x = 3,735.42 × 2,463.38
  4. Step 4: Simplify right side
    2,725.82x = 9,201,758.92
  5. Step 5: Solve for x
    x = 9,201,758.92/2,725.82
  6. Step 6: Final answer
    x = 3,375.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.