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Finding the Fourth Proportional to 2,149.07, 3,222.83 and 978.08

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Solution

The fourth proportional to 2,149.07, 3,222.83 and 978.08 is: 1,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.07 : 3,222.83 = 978.08 : x
  2. Step 2: Convert to fraction form
    2,149.07/3,222.83 = 978.08/x
  3. Step 3: Cross multiply
    2,149.07x = 3,222.83 × 978.08
  4. Step 4: Simplify right side
    2,149.07x = 3,152,164.56
  5. Step 5: Solve for x
    x = 3,152,164.56/2,149.07
  6. Step 6: Final answer
    x = 1,466.76

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