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Finding the Fourth Proportional to 2,642.48, 3,963.74 and 793.61

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Solution

The fourth proportional to 2,642.48, 3,963.74 and 793.61 is: 1,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.48 : 3,963.74 = 793.61 : x
  2. Step 2: Convert to fraction form
    2,642.48/3,963.74 = 793.61/x
  3. Step 3: Cross multiply
    2,642.48x = 3,963.74 × 793.61
  4. Step 4: Simplify right side
    2,642.48x = 3,145,639.91
  5. Step 5: Solve for x
    x = 3,145,639.91/2,642.48
  6. Step 6: Final answer
    x = 1,190.41

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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.