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Finding the Fourth Proportional to 3,116.48, 4,299.48 and 1,997.21

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Solution

The fourth proportional to 3,116.48, 4,299.48 and 1,997.21 is: 2,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.48 : 4,299.48 = 1,997.21 : x
  2. Step 2: Convert to fraction form
    3,116.48/4,299.48 = 1,997.21/x
  3. Step 3: Cross multiply
    3,116.48x = 4,299.48 × 1,997.21
  4. Step 4: Simplify right side
    3,116.48x = 8,586,951.01
  5. Step 5: Solve for x
    x = 8,586,951.01/3,116.48
  6. Step 6: Final answer
    x = 2,755.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.