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Finding the Fourth Proportional to 2,364.09, 3,546.60 and 978.18

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Solution

The fourth proportional to 2,364.09, 3,546.60 and 978.18 is: 1,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.09 : 3,546.60 = 978.18 : x
  2. Step 2: Convert to fraction form
    2,364.09/3,546.60 = 978.18/x
  3. Step 3: Cross multiply
    2,364.09x = 3,546.60 × 978.18
  4. Step 4: Simplify right side
    2,364.09x = 3,469,213.19
  5. Step 5: Solve for x
    x = 3,469,213.19/2,364.09
  6. Step 6: Final answer
    x = 1,467.46

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