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Finding the Fourth Proportional to 2,272.62, 3,408.20 and 733.26

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Solution

The fourth proportional to 2,272.62, 3,408.20 and 733.26 is: 1,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.62 : 3,408.20 = 733.26 : x
  2. Step 2: Convert to fraction form
    2,272.62/3,408.20 = 733.26/x
  3. Step 3: Cross multiply
    2,272.62x = 3,408.20 × 733.26
  4. Step 4: Simplify right side
    2,272.62x = 2,499,096.73
  5. Step 5: Solve for x
    x = 2,499,096.73/2,272.62
  6. Step 6: Final answer
    x = 1,099.65

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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.