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Finding the Fourth Proportional to 2,623.56, 3,934.14 and 978.90

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Solution

The fourth proportional to 2,623.56, 3,934.14 and 978.90 is: 1,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.56 : 3,934.14 = 978.90 : x
  2. Step 2: Convert to fraction form
    2,623.56/3,934.14 = 978.90/x
  3. Step 3: Cross multiply
    2,623.56x = 3,934.14 × 978.90
  4. Step 4: Simplify right side
    2,623.56x = 3,851,129.65
  5. Step 5: Solve for x
    x = 3,851,129.65/2,623.56
  6. Step 6: Final answer
    x = 1,467.90

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