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Finding the Fourth Proportional to 2,641.87, 3,963.38 and 998.42

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Solution

The fourth proportional to 2,641.87, 3,963.38 and 998.42 is: 1,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.87 : 3,963.38 = 998.42 : x
  2. Step 2: Convert to fraction form
    2,641.87/3,963.38 = 998.42/x
  3. Step 3: Cross multiply
    2,641.87x = 3,963.38 × 998.42
  4. Step 4: Simplify right side
    2,641.87x = 3,957,117.86
  5. Step 5: Solve for x
    x = 3,957,117.86/2,641.87
  6. Step 6: Final answer
    x = 1,497.85

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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.