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Finding the Fourth Proportional to 2,993.27, 4,489.72 and 1,144.55

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Solution

The fourth proportional to 2,993.27, 4,489.72 and 1,144.55 is: 1,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.27 : 4,489.72 = 1,144.55 : x
  2. Step 2: Convert to fraction form
    2,993.27/4,489.72 = 1,144.55/x
  3. Step 3: Cross multiply
    2,993.27x = 4,489.72 × 1,144.55
  4. Step 4: Simplify right side
    2,993.27x = 5,138,717.39
  5. Step 5: Solve for x
    x = 5,138,717.39/2,993.27
  6. Step 6: Final answer
    x = 1,716.76

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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.