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Finding the Fourth Proportional to 2,120.27, 3,179.05 and 733.48

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Solution

The fourth proportional to 2,120.27, 3,179.05 and 733.48 is: 1,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.27 : 3,179.05 = 733.48 : x
  2. Step 2: Convert to fraction form
    2,120.27/3,179.05 = 733.48/x
  3. Step 3: Cross multiply
    2,120.27x = 3,179.05 × 733.48
  4. Step 4: Simplify right side
    2,120.27x = 2,331,759.81
  5. Step 5: Solve for x
    x = 2,331,759.81/2,120.27
  6. Step 6: Final answer
    x = 1,099.75

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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.