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Finding the Fourth Proportional to 2,764.82, 4,147.18 and 684.82

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Solution

The fourth proportional to 2,764.82, 4,147.18 and 684.82 is: 1,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.82 : 4,147.18 = 684.82 : x
  2. Step 2: Convert to fraction form
    2,764.82/4,147.18 = 684.82/x
  3. Step 3: Cross multiply
    2,764.82x = 4,147.18 × 684.82
  4. Step 4: Simplify right side
    2,764.82x = 2,840,086.94
  5. Step 5: Solve for x
    x = 2,840,086.94/2,764.82
  6. Step 6: Final answer
    x = 1,027.22

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