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Finding the Fourth Proportional to 2,743.17, 4,105.17 and 2,243.80

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Solution

The fourth proportional to 2,743.17, 4,105.17 and 2,243.80 is: 3,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.17 : 4,105.17 = 2,243.80 : x
  2. Step 2: Convert to fraction form
    2,743.17/4,105.17 = 2,243.80/x
  3. Step 3: Cross multiply
    2,743.17x = 4,105.17 × 2,243.80
  4. Step 4: Simplify right side
    2,743.17x = 9,211,180.45
  5. Step 5: Solve for x
    x = 9,211,180.45/2,743.17
  6. Step 6: Final answer
    x = 3,357.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.