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Finding the Fourth Proportional to 2,557.77, 3,836.97 and 1,096.08

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Solution

The fourth proportional to 2,557.77, 3,836.97 and 1,096.08 is: 1,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.77 : 3,836.97 = 1,096.08 : x
  2. Step 2: Convert to fraction form
    2,557.77/3,836.97 = 1,096.08/x
  3. Step 3: Cross multiply
    2,557.77x = 3,836.97 × 1,096.08
  4. Step 4: Simplify right side
    2,557.77x = 4,205,626.08
  5. Step 5: Solve for x
    x = 4,205,626.08/2,557.77
  6. Step 6: Final answer
    x = 1,644.25

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