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Finding the Fourth Proportional to 1,774.82, 2,449.15 and 978.09

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Solution

The fourth proportional to 1,774.82, 2,449.15 and 978.09 is: 1,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.82 : 2,449.15 = 978.09 : x
  2. Step 2: Convert to fraction form
    1,774.82/2,449.15 = 978.09/x
  3. Step 3: Cross multiply
    1,774.82x = 2,449.15 × 978.09
  4. Step 4: Simplify right side
    1,774.82x = 2,395,489.12
  5. Step 5: Solve for x
    x = 2,395,489.12/1,774.82
  6. Step 6: Final answer
    x = 1,349.71

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