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Finding the Fourth Proportional to 2,136.68, 3,205.37 and 820.38

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Solution

The fourth proportional to 2,136.68, 3,205.37 and 820.38 is: 1,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.68 : 3,205.37 = 820.38 : x
  2. Step 2: Convert to fraction form
    2,136.68/3,205.37 = 820.38/x
  3. Step 3: Cross multiply
    2,136.68x = 3,205.37 × 820.38
  4. Step 4: Simplify right side
    2,136.68x = 2,629,630.90
  5. Step 5: Solve for x
    x = 2,629,630.90/2,136.68
  6. Step 6: Final answer
    x = 1,230.71

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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.