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Finding the Fourth Proportional to 1,679.78, 2,519.67 and 1,102.52

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Solution

The fourth proportional to 1,679.78, 2,519.67 and 1,102.52 is: 1,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.78 : 2,519.67 = 1,102.52 : x
  2. Step 2: Convert to fraction form
    1,679.78/2,519.67 = 1,102.52/x
  3. Step 3: Cross multiply
    1,679.78x = 2,519.67 × 1,102.52
  4. Step 4: Simplify right side
    1,679.78x = 2,777,986.57
  5. Step 5: Solve for x
    x = 2,777,986.57/1,679.78
  6. Step 6: Final answer
    x = 1,653.78

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