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Finding the Fourth Proportional to 1,927.71, 2,892.78 and 1,198.71

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Solution

The fourth proportional to 1,927.71, 2,892.78 and 1,198.71 is: 1,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.71 : 2,892.78 = 1,198.71 : x
  2. Step 2: Convert to fraction form
    1,927.71/2,892.78 = 1,198.71/x
  3. Step 3: Cross multiply
    1,927.71x = 2,892.78 × 1,198.71
  4. Step 4: Simplify right side
    1,927.71x = 3,467,604.31
  5. Step 5: Solve for x
    x = 3,467,604.31/1,927.71
  6. Step 6: Final answer
    x = 1,798.82

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