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Finding the Fourth Proportional to 2,136.73, 3,199.30 and 1,108.57

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Solution

The fourth proportional to 2,136.73, 3,199.30 and 1,108.57 is: 1,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.73 : 3,199.30 = 1,108.57 : x
  2. Step 2: Convert to fraction form
    2,136.73/3,199.30 = 1,108.57/x
  3. Step 3: Cross multiply
    2,136.73x = 3,199.30 × 1,108.57
  4. Step 4: Simplify right side
    2,136.73x = 3,546,629.23
  5. Step 5: Solve for x
    x = 3,546,629.23/2,136.73
  6. Step 6: Final answer
    x = 1,659.84

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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.