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Finding the Fourth Proportional to 1,238.14, 1,857.60 and 978.26

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Solution

The fourth proportional to 1,238.14, 1,857.60 and 978.26 is: 1,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.14 : 1,857.60 = 978.26 : x
  2. Step 2: Convert to fraction form
    1,238.14/1,857.60 = 978.26/x
  3. Step 3: Cross multiply
    1,238.14x = 1,857.60 × 978.26
  4. Step 4: Simplify right side
    1,238.14x = 1,817,215.78
  5. Step 5: Solve for x
    x = 1,817,215.78/1,238.14
  6. Step 6: Final answer
    x = 1,467.70

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