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Finding the Fourth Proportional to 2,549.28, 3,826.08 and 1,901.28

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Solution

The fourth proportional to 2,549.28, 3,826.08 and 1,901.28 is: 2,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.28 : 3,826.08 = 1,901.28 : x
  2. Step 2: Convert to fraction form
    2,549.28/3,826.08 = 1,901.28/x
  3. Step 3: Cross multiply
    2,549.28x = 3,826.08 × 1,901.28
  4. Step 4: Simplify right side
    2,549.28x = 7,274,449.38
  5. Step 5: Solve for x
    x = 7,274,449.38/2,549.28
  6. Step 6: Final answer
    x = 2,853.53

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