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Finding the Fourth Proportional to 1,686.17, 2,327.04 and 978.23

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Solution

The fourth proportional to 1,686.17, 2,327.04 and 978.23 is: 1,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.17 : 2,327.04 = 978.23 : x
  2. Step 2: Convert to fraction form
    1,686.17/2,327.04 = 978.23/x
  3. Step 3: Cross multiply
    1,686.17x = 2,327.04 × 978.23
  4. Step 4: Simplify right side
    1,686.17x = 2,276,380.34
  5. Step 5: Solve for x
    x = 2,276,380.34/1,686.17
  6. Step 6: Final answer
    x = 1,350.03

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