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Finding the Fourth Proportional to 1,686.41, 2,327.55 and 978.15

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Solution

The fourth proportional to 1,686.41, 2,327.55 and 978.15 is: 1,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.41 : 2,327.55 = 978.15 : x
  2. Step 2: Convert to fraction form
    1,686.41/2,327.55 = 978.15/x
  3. Step 3: Cross multiply
    1,686.41x = 2,327.55 × 978.15
  4. Step 4: Simplify right side
    1,686.41x = 2,276,693.03
  5. Step 5: Solve for x
    x = 2,276,693.03/1,686.41
  6. Step 6: Final answer
    x = 1,350.03

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