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Finding the Fourth Proportional to 2,578.22, 3,862.55 and 1,744.88

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Solution

The fourth proportional to 2,578.22, 3,862.55 and 1,744.88 is: 2,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.22 : 3,862.55 = 1,744.88 : x
  2. Step 2: Convert to fraction form
    2,578.22/3,862.55 = 1,744.88/x
  3. Step 3: Cross multiply
    2,578.22x = 3,862.55 × 1,744.88
  4. Step 4: Simplify right side
    2,578.22x = 6,739,687.18
  5. Step 5: Solve for x
    x = 6,739,687.18/2,578.22
  6. Step 6: Final answer
    x = 2,614.08

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