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Finding the Fourth Proportional to 1,694.78, 2,540.31 and 1,109.54

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Solution

The fourth proportional to 1,694.78, 2,540.31 and 1,109.54 is: 1,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.78 : 2,540.31 = 1,109.54 : x
  2. Step 2: Convert to fraction form
    1,694.78/2,540.31 = 1,109.54/x
  3. Step 3: Cross multiply
    1,694.78x = 2,540.31 × 1,109.54
  4. Step 4: Simplify right side
    1,694.78x = 2,818,575.56
  5. Step 5: Solve for x
    x = 2,818,575.56/1,694.78
  6. Step 6: Final answer
    x = 1,663.09

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