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Finding the Fourth Proportional to 2,096.85, 3,142.68 and 1,836.24

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Solution

The fourth proportional to 2,096.85, 3,142.68 and 1,836.24 is: 2,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.85 : 3,142.68 = 1,836.24 : x
  2. Step 2: Convert to fraction form
    2,096.85/3,142.68 = 1,836.24/x
  3. Step 3: Cross multiply
    2,096.85x = 3,142.68 × 1,836.24
  4. Step 4: Simplify right side
    2,096.85x = 5,770,714.72
  5. Step 5: Solve for x
    x = 5,770,714.72/2,096.85
  6. Step 6: Final answer
    x = 2,752.09

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