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Finding the Fourth Proportional to 1,997.90, 2,757.43 and 1,524.90

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Solution

The fourth proportional to 1,997.90, 2,757.43 and 1,524.90 is: 2,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.90 : 2,757.43 = 1,524.90 : x
  2. Step 2: Convert to fraction form
    1,997.90/2,757.43 = 1,524.90/x
  3. Step 3: Cross multiply
    1,997.90x = 2,757.43 × 1,524.90
  4. Step 4: Simplify right side
    1,997.90x = 4,204,805.01
  5. Step 5: Solve for x
    x = 4,204,805.01/1,997.90
  6. Step 6: Final answer
    x = 2,104.61

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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.