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Finding the Fourth Proportional to 2,642.21, 3,963.31 and 793.32

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Solution

The fourth proportional to 2,642.21, 3,963.31 and 793.32 is: 1,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.21 : 3,963.31 = 793.32 : x
  2. Step 2: Convert to fraction form
    2,642.21/3,963.31 = 793.32/x
  3. Step 3: Cross multiply
    2,642.21x = 3,963.31 × 793.32
  4. Step 4: Simplify right side
    2,642.21x = 3,144,183.00
  5. Step 5: Solve for x
    x = 3,144,183.00/2,642.21
  6. Step 6: Final answer
    x = 1,189.98

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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.