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Finding the Fourth Proportional to 1,860.78, 2,569.61 and 1,198.78

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Solution

The fourth proportional to 1,860.78, 2,569.61 and 1,198.78 is: 1,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.78 : 2,569.61 = 1,198.78 : x
  2. Step 2: Convert to fraction form
    1,860.78/2,569.61 = 1,198.78/x
  3. Step 3: Cross multiply
    1,860.78x = 2,569.61 × 1,198.78
  4. Step 4: Simplify right side
    1,860.78x = 3,080,391.08
  5. Step 5: Solve for x
    x = 3,080,391.08/1,860.78
  6. Step 6: Final answer
    x = 1,655.43

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