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Finding the Fourth Proportional to 2,641.72, 3,961.88 and 997.78

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Solution

The fourth proportional to 2,641.72, 3,961.88 and 997.78 is: 1,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.72 : 3,961.88 = 997.78 : x
  2. Step 2: Convert to fraction form
    2,641.72/3,961.88 = 997.78/x
  3. Step 3: Cross multiply
    2,641.72x = 3,961.88 × 997.78
  4. Step 4: Simplify right side
    2,641.72x = 3,953,084.63
  5. Step 5: Solve for x
    x = 3,953,084.63/2,641.72
  6. Step 6: Final answer
    x = 1,496.41

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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.