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Finding the Fourth Proportional to 1,978.24, 2,729.74 and 1,138.94

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Solution

The fourth proportional to 1,978.24, 2,729.74 and 1,138.94 is: 1,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.24 : 2,729.74 = 1,138.94 : x
  2. Step 2: Convert to fraction form
    1,978.24/2,729.74 = 1,138.94/x
  3. Step 3: Cross multiply
    1,978.24x = 2,729.74 × 1,138.94
  4. Step 4: Simplify right side
    1,978.24x = 3,109,010.08
  5. Step 5: Solve for x
    x = 3,109,010.08/1,978.24
  6. Step 6: Final answer
    x = 1,571.60

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