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Finding the Fourth Proportional to 2,538.64, 3,808.26 and 978.28

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Solution

The fourth proportional to 2,538.64, 3,808.26 and 978.28 is: 1,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.64 : 3,808.26 = 978.28 : x
  2. Step 2: Convert to fraction form
    2,538.64/3,808.26 = 978.28/x
  3. Step 3: Cross multiply
    2,538.64x = 3,808.26 × 978.28
  4. Step 4: Simplify right side
    2,538.64x = 3,725,544.59
  5. Step 5: Solve for x
    x = 3,725,544.59/2,538.64
  6. Step 6: Final answer
    x = 1,467.54

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