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Finding the Fourth Proportional to 3,470.90, 4,789.83 and 1,978.80

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Solution

The fourth proportional to 3,470.90, 4,789.83 and 1,978.80 is: 2,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.90 : 4,789.83 = 1,978.80 : x
  2. Step 2: Convert to fraction form
    3,470.90/4,789.83 = 1,978.80/x
  3. Step 3: Cross multiply
    3,470.90x = 4,789.83 × 1,978.80
  4. Step 4: Simplify right side
    3,470.90x = 9,478,145.48
  5. Step 5: Solve for x
    x = 9,478,145.48/3,470.90
  6. Step 6: Final answer
    x = 2,730.75

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