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Finding the Fourth Proportional to 1,914.78, 2,872.46 and 1,809.75

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Solution

The fourth proportional to 1,914.78, 2,872.46 and 1,809.75 is: 2,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.78 : 2,872.46 = 1,809.75 : x
  2. Step 2: Convert to fraction form
    1,914.78/2,872.46 = 1,809.75/x
  3. Step 3: Cross multiply
    1,914.78x = 2,872.46 × 1,809.75
  4. Step 4: Simplify right side
    1,914.78x = 5,198,425.44
  5. Step 5: Solve for x
    x = 5,198,425.44/1,914.78
  6. Step 6: Final answer
    x = 2,714.89

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