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Finding the Fourth Proportional to 2,641.72, 3,961.80 and 997.04

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Solution

The fourth proportional to 2,641.72, 3,961.80 and 997.04 is: 1,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.72 : 3,961.80 = 997.04 : x
  2. Step 2: Convert to fraction form
    2,641.72/3,961.80 = 997.04/x
  3. Step 3: Cross multiply
    2,641.72x = 3,961.80 × 997.04
  4. Step 4: Simplify right side
    2,641.72x = 3,950,073.07
  5. Step 5: Solve for x
    x = 3,950,073.07/2,641.72
  6. Step 6: Final answer
    x = 1,495.27

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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.