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Finding the Fourth Proportional to 2,072.82, 3,105.57 and 1,846.83

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Solution

The fourth proportional to 2,072.82, 3,105.57 and 1,846.83 is: 2,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.82 : 3,105.57 = 1,846.83 : x
  2. Step 2: Convert to fraction form
    2,072.82/3,105.57 = 1,846.83/x
  3. Step 3: Cross multiply
    2,072.82x = 3,105.57 × 1,846.83
  4. Step 4: Simplify right side
    2,072.82x = 5,735,459.84
  5. Step 5: Solve for x
    x = 5,735,459.84/2,072.82
  6. Step 6: Final answer
    x = 2,766.98

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