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Finding the Fourth Proportional to 1,677.51, 2,314.98 and 978.75

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Solution

The fourth proportional to 1,677.51, 2,314.98 and 978.75 is: 1,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.51 : 2,314.98 = 978.75 : x
  2. Step 2: Convert to fraction form
    1,677.51/2,314.98 = 978.75/x
  3. Step 3: Cross multiply
    1,677.51x = 2,314.98 × 978.75
  4. Step 4: Simplify right side
    1,677.51x = 2,265,786.68
  5. Step 5: Solve for x
    x = 2,265,786.68/1,677.51
  6. Step 6: Final answer
    x = 1,350.68

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