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Finding the Fourth Proportional to 2,554.80, 3,823.47 and 2,144.40

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Solution

The fourth proportional to 2,554.80, 3,823.47 and 2,144.40 is: 3,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.80 : 3,823.47 = 2,144.40 : x
  2. Step 2: Convert to fraction form
    2,554.80/3,823.47 = 2,144.40/x
  3. Step 3: Cross multiply
    2,554.80x = 3,823.47 × 2,144.40
  4. Step 4: Simplify right side
    2,554.80x = 8,199,049.07
  5. Step 5: Solve for x
    x = 8,199,049.07/2,554.80
  6. Step 6: Final answer
    x = 3,209.27

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