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Finding the Fourth Proportional to 2,384.38, 3,577.09 and 978.80

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Solution

The fourth proportional to 2,384.38, 3,577.09 and 978.80 is: 1,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.38 : 3,577.09 = 978.80 : x
  2. Step 2: Convert to fraction form
    2,384.38/3,577.09 = 978.80/x
  3. Step 3: Cross multiply
    2,384.38x = 3,577.09 × 978.80
  4. Step 4: Simplify right side
    2,384.38x = 3,501,250.80
  5. Step 5: Solve for x
    x = 3,501,250.80/2,384.38
  6. Step 6: Final answer
    x = 1,468.41

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