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Finding the Fourth Proportional to 3,320.20, 4,978.14 and 1,589.80

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Solution

The fourth proportional to 3,320.20, 4,978.14 and 1,589.80 is: 2,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.20 : 4,978.14 = 1,589.80 : x
  2. Step 2: Convert to fraction form
    3,320.20/4,978.14 = 1,589.80/x
  3. Step 3: Cross multiply
    3,320.20x = 4,978.14 × 1,589.80
  4. Step 4: Simplify right side
    3,320.20x = 7,914,246.97
  5. Step 5: Solve for x
    x = 7,914,246.97/3,320.20
  6. Step 6: Final answer
    x = 2,383.67

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