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Finding the Fourth Proportional to 2,351.73, 3,524.92 and 963.29

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Solution

The fourth proportional to 2,351.73, 3,524.92 and 963.29 is: 1,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.73 : 3,524.92 = 963.29 : x
  2. Step 2: Convert to fraction form
    2,351.73/3,524.92 = 963.29/x
  3. Step 3: Cross multiply
    2,351.73x = 3,524.92 × 963.29
  4. Step 4: Simplify right side
    2,351.73x = 3,395,520.19
  5. Step 5: Solve for x
    x = 3,395,520.19/2,351.73
  6. Step 6: Final answer
    x = 1,443.84

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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.