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Finding the Fourth Proportional to 2,498.62, 3,747.93 and 743.62

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Solution

The fourth proportional to 2,498.62, 3,747.93 and 743.62 is: 1,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.62 : 3,747.93 = 743.62 : x
  2. Step 2: Convert to fraction form
    2,498.62/3,747.93 = 743.62/x
  3. Step 3: Cross multiply
    2,498.62x = 3,747.93 × 743.62
  4. Step 4: Simplify right side
    2,498.62x = 2,787,028.20
  5. Step 5: Solve for x
    x = 2,787,028.20/2,498.62
  6. Step 6: Final answer
    x = 1,115.43

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1.5x scale

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.