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Finding the Fourth Proportional to 2,641.34, 3,961.54 and 997.75

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Solution

The fourth proportional to 2,641.34, 3,961.54 and 997.75 is: 1,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.34 : 3,961.54 = 997.75 : x
  2. Step 2: Convert to fraction form
    2,641.34/3,961.54 = 997.75/x
  3. Step 3: Cross multiply
    2,641.34x = 3,961.54 × 997.75
  4. Step 4: Simplify right side
    2,641.34x = 3,952,632.73
  5. Step 5: Solve for x
    x = 3,952,632.73/2,641.34
  6. Step 6: Final answer
    x = 1,496.45

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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.