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Finding the Fourth Proportional to 2,143.92, 3,212.24 and 1,494.48

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Solution

The fourth proportional to 2,143.92, 3,212.24 and 1,494.48 is: 2,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.92 : 3,212.24 = 1,494.48 : x
  2. Step 2: Convert to fraction form
    2,143.92/3,212.24 = 1,494.48/x
  3. Step 3: Cross multiply
    2,143.92x = 3,212.24 × 1,494.48
  4. Step 4: Simplify right side
    2,143.92x = 4,800,628.44
  5. Step 5: Solve for x
    x = 4,800,628.44/2,143.92
  6. Step 6: Final answer
    x = 2,239.18

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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.