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Finding the Fourth Proportional to 2,772.55, 3,826.78 and 1,594.31

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Solution

The fourth proportional to 2,772.55, 3,826.78 and 1,594.31 is: 2,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.55 : 3,826.78 = 1,594.31 : x
  2. Step 2: Convert to fraction form
    2,772.55/3,826.78 = 1,594.31/x
  3. Step 3: Cross multiply
    2,772.55x = 3,826.78 × 1,594.31
  4. Step 4: Simplify right side
    2,772.55x = 6,101,050.50
  5. Step 5: Solve for x
    x = 6,101,050.50/2,772.55
  6. Step 6: Final answer
    x = 2,200.52

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