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Finding the Fourth Proportional to 2,604.91, 3,899.41 and 2,106.68

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Solution

The fourth proportional to 2,604.91, 3,899.41 and 2,106.68 is: 3,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.91 : 3,899.41 = 2,106.68 : x
  2. Step 2: Convert to fraction form
    2,604.91/3,899.41 = 2,106.68/x
  3. Step 3: Cross multiply
    2,604.91x = 3,899.41 × 2,106.68
  4. Step 4: Simplify right side
    2,604.91x = 8,214,784.30
  5. Step 5: Solve for x
    x = 8,214,784.30/2,604.91
  6. Step 6: Final answer
    x = 3,153.58

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