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Finding the Fourth Proportional to 2,628.96, 3,949.17 and 1,589.46

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Solution

The fourth proportional to 2,628.96, 3,949.17 and 1,589.46 is: 2,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.96 : 3,949.17 = 1,589.46 : x
  2. Step 2: Convert to fraction form
    2,628.96/3,949.17 = 1,589.46/x
  3. Step 3: Cross multiply
    2,628.96x = 3,949.17 × 1,589.46
  4. Step 4: Simplify right side
    2,628.96x = 6,277,029.99
  5. Step 5: Solve for x
    x = 6,277,029.99/2,628.96
  6. Step 6: Final answer
    x = 2,387.64

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