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Finding the Fourth Proportional to 2,276.80, 3,416.81 and 978.64

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Solution

The fourth proportional to 2,276.80, 3,416.81 and 978.64 is: 1,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.80 : 3,416.81 = 978.64 : x
  2. Step 2: Convert to fraction form
    2,276.80/3,416.81 = 978.64/x
  3. Step 3: Cross multiply
    2,276.80x = 3,416.81 × 978.64
  4. Step 4: Simplify right side
    2,276.80x = 3,343,812.30
  5. Step 5: Solve for x
    x = 3,343,812.30/2,276.80
  6. Step 6: Final answer
    x = 1,468.65

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