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Finding the Fourth Proportional to 2,578.82, 3,867.24 and 1,192.88

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Solution

The fourth proportional to 2,578.82, 3,867.24 and 1,192.88 is: 1,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.82 : 3,867.24 = 1,192.88 : x
  2. Step 2: Convert to fraction form
    2,578.82/3,867.24 = 1,192.88/x
  3. Step 3: Cross multiply
    2,578.82x = 3,867.24 × 1,192.88
  4. Step 4: Simplify right side
    2,578.82x = 4,613,153.25
  5. Step 5: Solve for x
    x = 4,613,153.25/2,578.82
  6. Step 6: Final answer
    x = 1,788.86

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