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Finding the Fourth Proportional to 2,997.65, 4,136.77 and 1,671.44

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Solution

The fourth proportional to 2,997.65, 4,136.77 and 1,671.44 is: 2,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.65 : 4,136.77 = 1,671.44 : x
  2. Step 2: Convert to fraction form
    2,997.65/4,136.77 = 1,671.44/x
  3. Step 3: Cross multiply
    2,997.65x = 4,136.77 × 1,671.44
  4. Step 4: Simplify right side
    2,997.65x = 6,914,337.99
  5. Step 5: Solve for x
    x = 6,914,337.99/2,997.65
  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.