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Finding the Fourth Proportional to 2,096.62, 3,144.52 and 1,992.55

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Solution

The fourth proportional to 2,096.62, 3,144.52 and 1,992.55 is: 2,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.62 : 3,144.52 = 1,992.55 : x
  2. Step 2: Convert to fraction form
    2,096.62/3,144.52 = 1,992.55/x
  3. Step 3: Cross multiply
    2,096.62x = 3,144.52 × 1,992.55
  4. Step 4: Simplify right side
    2,096.62x = 6,265,613.33
  5. Step 5: Solve for x
    x = 6,265,613.33/2,096.62
  6. Step 6: Final answer
    x = 2,988.44

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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.