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Finding the Fourth Proportional to 2,532.13, 3,800.15 and 1,757.57

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Solution

The fourth proportional to 2,532.13, 3,800.15 and 1,757.57 is: 2,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.13 : 3,800.15 = 1,757.57 : x
  2. Step 2: Convert to fraction form
    2,532.13/3,800.15 = 1,757.57/x
  3. Step 3: Cross multiply
    2,532.13x = 3,800.15 × 1,757.57
  4. Step 4: Simplify right side
    2,532.13x = 6,679,001.85
  5. Step 5: Solve for x
    x = 6,679,001.85/2,532.13
  6. Step 6: Final answer
    x = 2,637.71

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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.