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Finding the Fourth Proportional to 2,642.33, 3,963.69 and 793.31

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Solution

The fourth proportional to 2,642.33, 3,963.69 and 793.31 is: 1,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.33 : 3,963.69 = 793.31 : x
  2. Step 2: Convert to fraction form
    2,642.33/3,963.69 = 793.31/x
  3. Step 3: Cross multiply
    2,642.33x = 3,963.69 × 793.31
  4. Step 4: Simplify right side
    2,642.33x = 3,144,415.10
  5. Step 5: Solve for x
    x = 3,144,415.10/2,642.33
  6. Step 6: Final answer
    x = 1,190.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.