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Finding the Fourth Proportional to 1,220.14, 1,827.78 and 1,134.82

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Solution

The fourth proportional to 1,220.14, 1,827.78 and 1,134.82 is: 1,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.14 : 1,827.78 = 1,134.82 : x
  2. Step 2: Convert to fraction form
    1,220.14/1,827.78 = 1,134.82/x
  3. Step 3: Cross multiply
    1,220.14x = 1,827.78 × 1,134.82
  4. Step 4: Simplify right side
    1,220.14x = 2,074,201.30
  5. Step 5: Solve for x
    x = 2,074,201.30/1,220.14
  6. Step 6: Final answer
    x = 1,699.97

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