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Finding the Fourth Proportional to 2,439.40, 3,658.84 and 978.16

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Solution

The fourth proportional to 2,439.40, 3,658.84 and 978.16 is: 1,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.40 : 3,658.84 = 978.16 : x
  2. Step 2: Convert to fraction form
    2,439.40/3,658.84 = 978.16/x
  3. Step 3: Cross multiply
    2,439.40x = 3,658.84 × 978.16
  4. Step 4: Simplify right side
    2,439.40x = 3,578,930.93
  5. Step 5: Solve for x
    x = 3,578,930.93/2,439.40
  6. Step 6: Final answer
    x = 1,467.14

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