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Finding the Fourth Proportional to 2,092.49, 3,136.68 and 1,168.49

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Solution

The fourth proportional to 2,092.49, 3,136.68 and 1,168.49 is: 1,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.49 : 3,136.68 = 1,168.49 : x
  2. Step 2: Convert to fraction form
    2,092.49/3,136.68 = 1,168.49/x
  3. Step 3: Cross multiply
    2,092.49x = 3,136.68 × 1,168.49
  4. Step 4: Simplify right side
    2,092.49x = 3,665,163.53
  5. Step 5: Solve for x
    x = 3,665,163.53/2,092.49
  6. Step 6: Final answer
    x = 1,751.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.