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Finding the Fourth Proportional to 2,641.41, 3,960.90 and 997.52

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Solution

The fourth proportional to 2,641.41, 3,960.90 and 997.52 is: 1,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.41 : 3,960.90 = 997.52 : x
  2. Step 2: Convert to fraction form
    2,641.41/3,960.90 = 997.52/x
  3. Step 3: Cross multiply
    2,641.41x = 3,960.90 × 997.52
  4. Step 4: Simplify right side
    2,641.41x = 3,951,057.16
  5. Step 5: Solve for x
    x = 3,951,057.16/2,641.41
  6. Step 6: Final answer
    x = 1,495.81

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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.