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Finding the Fourth Proportional to 2,020.97, 3,031.46 and 634.43

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Solution

The fourth proportional to 2,020.97, 3,031.46 and 634.43 is: 951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.97 : 3,031.46 = 634.43 : x
  2. Step 2: Convert to fraction form
    2,020.97/3,031.46 = 634.43/x
  3. Step 3: Cross multiply
    2,020.97x = 3,031.46 × 634.43
  4. Step 4: Simplify right side
    2,020.97x = 1,923,250.27
  5. Step 5: Solve for x
    x = 1,923,250.27/2,020.97
  6. Step 6: Final answer
    x = 951.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.