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Finding the Fourth Proportional to 2,978.26, 4,105.21 and 2,020.86

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Solution

The fourth proportional to 2,978.26, 4,105.21 and 2,020.86 is: 2,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.26 : 4,105.21 = 2,020.86 : x
  2. Step 2: Convert to fraction form
    2,978.26/4,105.21 = 2,020.86/x
  3. Step 3: Cross multiply
    2,978.26x = 4,105.21 × 2,020.86
  4. Step 4: Simplify right side
    2,978.26x = 8,296,054.68
  5. Step 5: Solve for x
    x = 8,296,054.68/2,978.26
  6. Step 6: Final answer
    x = 2,785.54

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