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Finding the Fourth Proportional to 2,772.78, 3,826.44 and 1,594.08

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Solution

The fourth proportional to 2,772.78, 3,826.44 and 1,594.08 is: 2,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.78 : 3,826.44 = 1,594.08 : x
  2. Step 2: Convert to fraction form
    2,772.78/3,826.44 = 1,594.08/x
  3. Step 3: Cross multiply
    2,772.78x = 3,826.44 × 1,594.08
  4. Step 4: Simplify right side
    2,772.78x = 6,099,651.48
  5. Step 5: Solve for x
    x = 6,099,651.48/2,772.78
  6. Step 6: Final answer
    x = 2,199.83

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