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Finding the Fourth Proportional to 2,183.52, 3,293.13 and 2,144.64

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Solution

The fourth proportional to 2,183.52, 3,293.13 and 2,144.64 is: 3,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.52 : 3,293.13 = 2,144.64 : x
  2. Step 2: Convert to fraction form
    2,183.52/3,293.13 = 2,144.64/x
  3. Step 3: Cross multiply
    2,183.52x = 3,293.13 × 2,144.64
  4. Step 4: Simplify right side
    2,183.52x = 7,062,578.32
  5. Step 5: Solve for x
    x = 7,062,578.32/2,183.52
  6. Step 6: Final answer
    x = 3,234.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.