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Finding the Fourth Proportional to 1,627.62, 2,443.87 and 1,408.92

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Solution

The fourth proportional to 1,627.62, 2,443.87 and 1,408.92 is: 2,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.62 : 2,443.87 = 1,408.92 : x
  2. Step 2: Convert to fraction form
    1,627.62/2,443.87 = 1,408.92/x
  3. Step 3: Cross multiply
    1,627.62x = 2,443.87 × 1,408.92
  4. Step 4: Simplify right side
    1,627.62x = 3,443,217.32
  5. Step 5: Solve for x
    x = 3,443,217.32/1,627.62
  6. Step 6: Final answer
    x = 2,115.49

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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.