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Finding the Fourth Proportional to 1,986.30, 2,978.30 and 1,162.84

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Solution

The fourth proportional to 1,986.30, 2,978.30 and 1,162.84 is: 1,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.30 : 2,978.30 = 1,162.84 : x
  2. Step 2: Convert to fraction form
    1,986.30/2,978.30 = 1,162.84/x
  3. Step 3: Cross multiply
    1,986.30x = 2,978.30 × 1,162.84
  4. Step 4: Simplify right side
    1,986.30x = 3,463,286.37
  5. Step 5: Solve for x
    x = 3,463,286.37/1,986.30
  6. Step 6: Final answer
    x = 1,743.59

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