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Finding the Fourth Proportional to 2,096.73, 3,142.66 and 1,853.73

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Solution

The fourth proportional to 2,096.73, 3,142.66 and 1,853.73 is: 2,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.73 : 3,142.66 = 1,853.73 : x
  2. Step 2: Convert to fraction form
    2,096.73/3,142.66 = 1,853.73/x
  3. Step 3: Cross multiply
    2,096.73x = 3,142.66 × 1,853.73
  4. Step 4: Simplify right side
    2,096.73x = 5,825,638.49
  5. Step 5: Solve for x
    x = 5,825,638.49/2,096.73
  6. Step 6: Final answer
    x = 2,778.44

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