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Finding the Fourth Proportional to 3,203.28, 4,805.28 and 1,744.56

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Solution

The fourth proportional to 3,203.28, 4,805.28 and 1,744.56 is: 2,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.28 : 4,805.28 = 1,744.56 : x
  2. Step 2: Convert to fraction form
    3,203.28/4,805.28 = 1,744.56/x
  3. Step 3: Cross multiply
    3,203.28x = 4,805.28 × 1,744.56
  4. Step 4: Simplify right side
    3,203.28x = 8,383,099.28
  5. Step 5: Solve for x
    x = 8,383,099.28/3,203.28
  6. Step 6: Final answer
    x = 2,617.04

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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.