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Finding the Fourth Proportional to 1,380.78, 2,067.53 and 1,206.63

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Solution

The fourth proportional to 1,380.78, 2,067.53 and 1,206.63 is: 1,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.78 : 2,067.53 = 1,206.63 : x
  2. Step 2: Convert to fraction form
    1,380.78/2,067.53 = 1,206.63/x
  3. Step 3: Cross multiply
    1,380.78x = 2,067.53 × 1,206.63
  4. Step 4: Simplify right side
    1,380.78x = 2,494,737.69
  5. Step 5: Solve for x
    x = 2,494,737.69/1,380.78
  6. Step 6: Final answer
    x = 1,806.76

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