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Finding the Fourth Proportional to 2,001.50, 3,002.69 and 614.96

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Solution

The fourth proportional to 2,001.50, 3,002.69 and 614.96 is: 922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.50 : 3,002.69 = 614.96 : x
  2. Step 2: Convert to fraction form
    2,001.50/3,002.69 = 614.96/x
  3. Step 3: Cross multiply
    2,001.50x = 3,002.69 × 614.96
  4. Step 4: Simplify right side
    2,001.50x = 1,846,516.15
  5. Step 5: Solve for x
    x = 1,846,516.15/2,001.50
  6. Step 6: Final answer
    x = 922.57

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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.