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Finding the Fourth Proportional to 1,963.37, 2,943.03 and 868.25

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Solution

The fourth proportional to 1,963.37, 2,943.03 and 868.25 is: 1,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.37 : 2,943.03 = 868.25 : x
  2. Step 2: Convert to fraction form
    1,963.37/2,943.03 = 868.25/x
  3. Step 3: Cross multiply
    1,963.37x = 2,943.03 × 868.25
  4. Step 4: Simplify right side
    1,963.37x = 2,555,285.80
  5. Step 5: Solve for x
    x = 2,555,285.80/1,963.37
  6. Step 6: Final answer
    x = 1,301.48

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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.