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Finding the Fourth Proportional to 2,576.16, 3,855.60 and 2,113.92

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Solution

The fourth proportional to 2,576.16, 3,855.60 and 2,113.92 is: 3,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.16 : 3,855.60 = 2,113.92 : x
  2. Step 2: Convert to fraction form
    2,576.16/3,855.60 = 2,113.92/x
  3. Step 3: Cross multiply
    2,576.16x = 3,855.60 × 2,113.92
  4. Step 4: Simplify right side
    2,576.16x = 8,150,429.95
  5. Step 5: Solve for x
    x = 8,150,429.95/2,576.16
  6. Step 6: Final answer
    x = 3,163.79

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