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Finding the Fourth Proportional to 2,641.85, 3,963.42 and 793.00

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Solution

The fourth proportional to 2,641.85, 3,963.42 and 793.00 is: 1,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.85 : 3,963.42 = 793.00 : x
  2. Step 2: Convert to fraction form
    2,641.85/3,963.42 = 793.00/x
  3. Step 3: Cross multiply
    2,641.85x = 3,963.42 × 793.00
  4. Step 4: Simplify right side
    2,641.85x = 3,142,972.24
  5. Step 5: Solve for x
    x = 3,142,972.24/2,641.85
  6. Step 6: Final answer
    x = 1,189.69

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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.