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Finding the Fourth Proportional to 2,136.32, 3,204.80 and 1,452.80

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Solution

The fourth proportional to 2,136.32, 3,204.80 and 1,452.80 is: 2,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.32 : 3,204.80 = 1,452.80 : x
  2. Step 2: Convert to fraction form
    2,136.32/3,204.80 = 1,452.80/x
  3. Step 3: Cross multiply
    2,136.32x = 3,204.80 × 1,452.80
  4. Step 4: Simplify right side
    2,136.32x = 4,655,933.44
  5. Step 5: Solve for x
    x = 4,655,933.44/2,136.32
  6. Step 6: Final answer
    x = 2,179.42

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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.