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Finding the Fourth Proportional to 2,276.24, 3,414.72 and 978.08

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Solution

The fourth proportional to 2,276.24, 3,414.72 and 978.08 is: 1,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.24 : 3,414.72 = 978.08 : x
  2. Step 2: Convert to fraction form
    2,276.24/3,414.72 = 978.08/x
  3. Step 3: Cross multiply
    2,276.24x = 3,414.72 × 978.08
  4. Step 4: Simplify right side
    2,276.24x = 3,339,869.34
  5. Step 5: Solve for x
    x = 3,339,869.34/2,276.24
  6. Step 6: Final answer
    x = 1,467.27

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