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Finding the Fourth Proportional to 1,905.13, 2,855.92 and 978.64

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Solution

The fourth proportional to 1,905.13, 2,855.92 and 978.64 is: 1,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.13 : 2,855.92 = 978.64 : x
  2. Step 2: Convert to fraction form
    1,905.13/2,855.92 = 978.64/x
  3. Step 3: Cross multiply
    1,905.13x = 2,855.92 × 978.64
  4. Step 4: Simplify right side
    1,905.13x = 2,794,917.55
  5. Step 5: Solve for x
    x = 2,794,917.55/1,905.13
  6. Step 6: Final answer
    x = 1,467.05

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