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Finding the Fourth Proportional to 2,512.43, 3,768.03 and 1,963.25

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Solution

The fourth proportional to 2,512.43, 3,768.03 and 1,963.25 is: 2,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.43 : 3,768.03 = 1,963.25 : x
  2. Step 2: Convert to fraction form
    2,512.43/3,768.03 = 1,963.25/x
  3. Step 3: Cross multiply
    2,512.43x = 3,768.03 × 1,963.25
  4. Step 4: Simplify right side
    2,512.43x = 7,397,566.06
  5. Step 5: Solve for x
    x = 7,397,566.06/2,512.43
  6. Step 6: Final answer
    x = 2,944.39

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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.