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Finding the Fourth Proportional to 2,134.70, 3,201.62 and 748.02

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Solution

The fourth proportional to 2,134.70, 3,201.62 and 748.02 is: 1,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.70 : 3,201.62 = 748.02 : x
  2. Step 2: Convert to fraction form
    2,134.70/3,201.62 = 748.02/x
  3. Step 3: Cross multiply
    2,134.70x = 3,201.62 × 748.02
  4. Step 4: Simplify right side
    2,134.70x = 2,394,875.79
  5. Step 5: Solve for x
    x = 2,394,875.79/2,134.70
  6. Step 6: Final answer
    x = 1,121.88

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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.