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Finding the Fourth Proportional to 2,578.44, 3,862.47 and 1,189.83

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Solution

The fourth proportional to 2,578.44, 3,862.47 and 1,189.83 is: 1,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.44 : 3,862.47 = 1,189.83 : x
  2. Step 2: Convert to fraction form
    2,578.44/3,862.47 = 1,189.83/x
  3. Step 3: Cross multiply
    2,578.44x = 3,862.47 × 1,189.83
  4. Step 4: Simplify right side
    2,578.44x = 4,595,682.68
  5. Step 5: Solve for x
    x = 4,595,682.68/2,578.44
  6. Step 6: Final answer
    x = 1,782.35

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