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Finding the Fourth Proportional to 3,269.54, 4,906.53 and 1,627.24

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Solution

The fourth proportional to 3,269.54, 4,906.53 and 1,627.24 is: 2,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.54 : 4,906.53 = 1,627.24 : x
  2. Step 2: Convert to fraction form
    3,269.54/4,906.53 = 1,627.24/x
  3. Step 3: Cross multiply
    3,269.54x = 4,906.53 × 1,627.24
  4. Step 4: Simplify right side
    3,269.54x = 7,984,101.88
  5. Step 5: Solve for x
    x = 7,984,101.88/3,269.54
  6. Step 6: Final answer
    x = 2,441.96

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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.