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Finding the Fourth Proportional to 2,136.46, 3,202.79 and 1,149.81

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Solution

The fourth proportional to 2,136.46, 3,202.79 and 1,149.81 is: 1,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.46 : 3,202.79 = 1,149.81 : x
  2. Step 2: Convert to fraction form
    2,136.46/3,202.79 = 1,149.81/x
  3. Step 3: Cross multiply
    2,136.46x = 3,202.79 × 1,149.81
  4. Step 4: Simplify right side
    2,136.46x = 3,682,593.18
  5. Step 5: Solve for x
    x = 3,682,593.18/2,136.46
  6. Step 6: Final answer
    x = 1,723.69

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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.