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Finding the Fourth Proportional to 2,997.56, 4,136.74 and 1,671.42

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Solution

The fourth proportional to 2,997.56, 4,136.74 and 1,671.42 is: 2,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.56 : 4,136.74 = 1,671.42 : x
  2. Step 2: Convert to fraction form
    2,997.56/4,136.74 = 1,671.42/x
  3. Step 3: Cross multiply
    2,997.56x = 4,136.74 × 1,671.42
  4. Step 4: Simplify right side
    2,997.56x = 6,914,229.97
  5. Step 5: Solve for x
    x = 6,914,229.97/2,997.56
  6. Step 6: Final answer
    x = 2,306.62

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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.