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Finding the Fourth Proportional to 2,643.43, 3,963.96 and 793.93

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Solution

The fourth proportional to 2,643.43, 3,963.96 and 793.93 is: 1,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.43 : 3,963.96 = 793.93 : x
  2. Step 2: Convert to fraction form
    2,643.43/3,963.96 = 793.93/x
  3. Step 3: Cross multiply
    2,643.43x = 3,963.96 × 793.93
  4. Step 4: Simplify right side
    2,643.43x = 3,147,106.76
  5. Step 5: Solve for x
    x = 3,147,106.76/2,643.43
  6. Step 6: Final answer
    x = 1,190.54

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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.