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Finding the Fourth Proportional to 4,174.50, 6,262.17 and 1,542.70

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Solution

The fourth proportional to 4,174.50, 6,262.17 and 1,542.70 is: 2,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.50 : 6,262.17 = 1,542.70 : x
  2. Step 2: Convert to fraction form
    4,174.50/6,262.17 = 1,542.70/x
  3. Step 3: Cross multiply
    4,174.50x = 6,262.17 × 1,542.70
  4. Step 4: Simplify right side
    4,174.50x = 9,660,611.60
  5. Step 5: Solve for x
    x = 9,660,611.60/4,174.50
  6. Step 6: Final answer
    x = 2,314.20

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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.