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Finding the Fourth Proportional to 2,006.91, 3,016.53 and 1,963.86

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Solution

The fourth proportional to 2,006.91, 3,016.53 and 1,963.86 is: 2,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.91 : 3,016.53 = 1,963.86 : x
  2. Step 2: Convert to fraction form
    2,006.91/3,016.53 = 1,963.86/x
  3. Step 3: Cross multiply
    2,006.91x = 3,016.53 × 1,963.86
  4. Step 4: Simplify right side
    2,006.91x = 5,924,042.61
  5. Step 5: Solve for x
    x = 5,924,042.61/2,006.91
  6. Step 6: Final answer
    x = 2,951.82

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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.