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Finding the Fourth Proportional to 2,770.82, 4,156.89 and 796.48

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Solution

The fourth proportional to 2,770.82, 4,156.89 and 796.48 is: 1,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.82 : 4,156.89 = 796.48 : x
  2. Step 2: Convert to fraction form
    2,770.82/4,156.89 = 796.48/x
  3. Step 3: Cross multiply
    2,770.82x = 4,156.89 × 796.48
  4. Step 4: Simplify right side
    2,770.82x = 3,310,866.37
  5. Step 5: Solve for x
    x = 3,310,866.37/2,770.82
  6. Step 6: Final answer
    x = 1,194.91

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