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Finding the Fourth Proportional to 2,277.14, 3,415.07 and 978.30

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Solution

The fourth proportional to 2,277.14, 3,415.07 and 978.30 is: 1,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.14 : 3,415.07 = 978.30 : x
  2. Step 2: Convert to fraction form
    2,277.14/3,415.07 = 978.30/x
  3. Step 3: Cross multiply
    2,277.14x = 3,415.07 × 978.30
  4. Step 4: Simplify right side
    2,277.14x = 3,340,958.09
  5. Step 5: Solve for x
    x = 3,340,958.09/2,277.14
  6. Step 6: Final answer
    x = 1,467.18

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