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Finding the Fourth Proportional to 1,905.80, 2,857.78 and 809.56

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Solution

The fourth proportional to 1,905.80, 2,857.78 and 809.56 is: 1,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.80 : 2,857.78 = 809.56 : x
  2. Step 2: Convert to fraction form
    1,905.80/2,857.78 = 809.56/x
  3. Step 3: Cross multiply
    1,905.80x = 2,857.78 × 809.56
  4. Step 4: Simplify right side
    1,905.80x = 2,313,548.96
  5. Step 5: Solve for x
    x = 2,313,548.96/1,905.80
  6. Step 6: Final answer
    x = 1,213.95

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