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Finding the Fourth Proportional to 2,997.78, 4,136.97 and 1,671.43

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Solution

The fourth proportional to 2,997.78, 4,136.97 and 1,671.43 is: 2,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.78 : 4,136.97 = 1,671.43 : x
  2. Step 2: Convert to fraction form
    2,997.78/4,136.97 = 1,671.43/x
  3. Step 3: Cross multiply
    2,997.78x = 4,136.97 × 1,671.43
  4. Step 4: Simplify right side
    2,997.78x = 6,914,655.77
  5. Step 5: Solve for x
    x = 6,914,655.77/2,997.78
  6. Step 6: Final answer
    x = 2,306.59

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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.