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Finding the Fourth Proportional to 2,549.77, 3,827.36 and 2,143.30

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Solution

The fourth proportional to 2,549.77, 3,827.36 and 2,143.30 is: 3,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.77 : 3,827.36 = 2,143.30 : x
  2. Step 2: Convert to fraction form
    2,549.77/3,827.36 = 2,143.30/x
  3. Step 3: Cross multiply
    2,549.77x = 3,827.36 × 2,143.30
  4. Step 4: Simplify right side
    2,549.77x = 8,203,180.69
  5. Step 5: Solve for x
    x = 8,203,180.69/2,549.77
  6. Step 6: Final answer
    x = 3,217.22

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