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Finding the Fourth Proportional to 2,641.56, 3,961.50 and 2,469

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Solution

The fourth proportional to 2,641.56, 3,961.50 and 2,469 is: 3,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.56 : 3,961.50 = 2,469 : x
  2. Step 2: Convert to fraction form
    2,641.56/3,961.50 = 2,469/x
  3. Step 3: Cross multiply
    2,641.56x = 3,961.50 × 2,469
  4. Step 4: Simplify right side
    2,641.56x = 9,780,943.50
  5. Step 5: Solve for x
    x = 9,780,943.50/2,641.56
  6. Step 6: Final answer
    x = 3,702.71

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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.