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Finding the Fourth Proportional to 1,978.44, 2,964.78 and 1,431.78

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Solution

The fourth proportional to 1,978.44, 2,964.78 and 1,431.78 is: 2,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.44 : 2,964.78 = 1,431.78 : x
  2. Step 2: Convert to fraction form
    1,978.44/2,964.78 = 1,431.78/x
  3. Step 3: Cross multiply
    1,978.44x = 2,964.78 × 1,431.78
  4. Step 4: Simplify right side
    1,978.44x = 4,244,912.71
  5. Step 5: Solve for x
    x = 4,244,912.71/1,978.44
  6. Step 6: Final answer
    x = 2,145.59

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