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Finding the Fourth Proportional to 1,892.02, 2,834.43 and 1,067.80

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Solution

The fourth proportional to 1,892.02, 2,834.43 and 1,067.80 is: 1,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.02 : 2,834.43 = 1,067.80 : x
  2. Step 2: Convert to fraction form
    1,892.02/2,834.43 = 1,067.80/x
  3. Step 3: Cross multiply
    1,892.02x = 2,834.43 × 1,067.80
  4. Step 4: Simplify right side
    1,892.02x = 3,026,604.35
  5. Step 5: Solve for x
    x = 3,026,604.35/1,892.02
  6. Step 6: Final answer
    x = 1,599.67

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