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Finding the Fourth Proportional to 2,136.72, 3,205.60 and 1,162.56

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Solution

The fourth proportional to 2,136.72, 3,205.60 and 1,162.56 is: 1,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.72 : 3,205.60 = 1,162.56 : x
  2. Step 2: Convert to fraction form
    2,136.72/3,205.60 = 1,162.56/x
  3. Step 3: Cross multiply
    2,136.72x = 3,205.60 × 1,162.56
  4. Step 4: Simplify right side
    2,136.72x = 3,726,702.34
  5. Step 5: Solve for x
    x = 3,726,702.34/2,136.72
  6. Step 6: Final answer
    x = 1,744.12

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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.