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Finding the Fourth Proportional to 2,000.52, 3,001.32 and 613.98

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Solution

The fourth proportional to 2,000.52, 3,001.32 and 613.98 is: 921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.52 : 3,001.32 = 613.98 : x
  2. Step 2: Convert to fraction form
    2,000.52/3,001.32 = 613.98/x
  3. Step 3: Cross multiply
    2,000.52x = 3,001.32 × 613.98
  4. Step 4: Simplify right side
    2,000.52x = 1,842,750.45
  5. Step 5: Solve for x
    x = 1,842,750.45/2,000.52
  6. Step 6: Final answer
    x = 921.14

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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.