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Finding the Fourth Proportional to 3,144.39, 4,339.04 and 1,728.04

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Solution

The fourth proportional to 3,144.39, 4,339.04 and 1,728.04 is: 2,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.39 : 4,339.04 = 1,728.04 : x
  2. Step 2: Convert to fraction form
    3,144.39/4,339.04 = 1,728.04/x
  3. Step 3: Cross multiply
    3,144.39x = 4,339.04 × 1,728.04
  4. Step 4: Simplify right side
    3,144.39x = 7,498,040.11
  5. Step 5: Solve for x
    x = 7,498,040.11/3,144.39
  6. Step 6: Final answer
    x = 2,384.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.