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Finding the Fourth Proportional to 2,641.38, 3,961.90 and 997.71

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Solution

The fourth proportional to 2,641.38, 3,961.90 and 997.71 is: 1,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.38 : 3,961.90 = 997.71 : x
  2. Step 2: Convert to fraction form
    2,641.38/3,961.90 = 997.71/x
  3. Step 3: Cross multiply
    2,641.38x = 3,961.90 × 997.71
  4. Step 4: Simplify right side
    2,641.38x = 3,952,827.25
  5. Step 5: Solve for x
    x = 3,952,827.25/2,641.38
  6. Step 6: Final answer
    x = 1,496.50

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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.