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Finding the Fourth Proportional to 2,512.72, 3,770 and 869.44

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Solution

The fourth proportional to 2,512.72, 3,770 and 869.44 is: 1,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.72 : 3,770 = 869.44 : x
  2. Step 2: Convert to fraction form
    2,512.72/3,770 = 869.44/x
  3. Step 3: Cross multiply
    2,512.72x = 3,770 × 869.44
  4. Step 4: Simplify right side
    2,512.72x = 3,277,788.80
  5. Step 5: Solve for x
    x = 3,277,788.80/2,512.72
  6. Step 6: Final answer
    x = 1,304.48

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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.