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Finding the Fourth Proportional to 1,650.91, 2,277.48 and 978.25

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Solution

The fourth proportional to 1,650.91, 2,277.48 and 978.25 is: 1,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.91 : 2,277.48 = 978.25 : x
  2. Step 2: Convert to fraction form
    1,650.91/2,277.48 = 978.25/x
  3. Step 3: Cross multiply
    1,650.91x = 2,277.48 × 978.25
  4. Step 4: Simplify right side
    1,650.91x = 2,227,944.81
  5. Step 5: Solve for x
    x = 2,227,944.81/1,650.91
  6. Step 6: Final answer
    x = 1,349.53

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