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Finding the Fourth Proportional to 1,997.10, 2,753.49 and 1,716.78

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Solution

The fourth proportional to 1,997.10, 2,753.49 and 1,716.78 is: 2,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.10 : 2,753.49 = 1,716.78 : x
  2. Step 2: Convert to fraction form
    1,997.10/2,753.49 = 1,716.78/x
  3. Step 3: Cross multiply
    1,997.10x = 2,753.49 × 1,716.78
  4. Step 4: Simplify right side
    1,997.10x = 4,727,136.56
  5. Step 5: Solve for x
    x = 4,727,136.56/1,997.10
  6. Step 6: Final answer
    x = 2,367.00

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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.