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Finding the Fourth Proportional to 2,277.55, 3,416.96 and 978.67

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Solution

The fourth proportional to 2,277.55, 3,416.96 and 978.67 is: 1,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.55 : 3,416.96 = 978.67 : x
  2. Step 2: Convert to fraction form
    2,277.55/3,416.96 = 978.67/x
  3. Step 3: Cross multiply
    2,277.55x = 3,416.96 × 978.67
  4. Step 4: Simplify right side
    2,277.55x = 3,344,076.24
  5. Step 5: Solve for x
    x = 3,344,076.24/2,277.55
  6. Step 6: Final answer
    x = 1,468.28

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