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Finding the Fourth Proportional to 2,643.20, 3,963.77 and 793.88

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Solution

The fourth proportional to 2,643.20, 3,963.77 and 793.88 is: 1,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.20 : 3,963.77 = 793.88 : x
  2. Step 2: Convert to fraction form
    2,643.20/3,963.77 = 793.88/x
  3. Step 3: Cross multiply
    2,643.20x = 3,963.77 × 793.88
  4. Step 4: Simplify right side
    2,643.20x = 3,146,737.91
  5. Step 5: Solve for x
    x = 3,146,737.91/2,643.20
  6. Step 6: Final answer
    x = 1,190.51

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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.