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Finding the Fourth Proportional to 3,261.43, 4,892.15 and 796.25

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Solution

The fourth proportional to 3,261.43, 4,892.15 and 796.25 is: 1,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.43 : 4,892.15 = 796.25 : x
  2. Step 2: Convert to fraction form
    3,261.43/4,892.15 = 796.25/x
  3. Step 3: Cross multiply
    3,261.43x = 4,892.15 × 796.25
  4. Step 4: Simplify right side
    3,261.43x = 3,895,374.44
  5. Step 5: Solve for x
    x = 3,895,374.44/3,261.43
  6. Step 6: Final answer
    x = 1,194.38

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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.