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Finding the Fourth Proportional to 2,512.62, 3,768.42 and 952.09

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Solution

The fourth proportional to 2,512.62, 3,768.42 and 952.09 is: 1,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.62 : 3,768.42 = 952.09 : x
  2. Step 2: Convert to fraction form
    2,512.62/3,768.42 = 952.09/x
  3. Step 3: Cross multiply
    2,512.62x = 3,768.42 × 952.09
  4. Step 4: Simplify right side
    2,512.62x = 3,587,863.20
  5. Step 5: Solve for x
    x = 3,587,863.20/2,512.62
  6. Step 6: Final answer
    x = 1,427.94

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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.