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Finding the Fourth Proportional to 2,560.05, 3,835.97 and 2,314.01

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Solution

The fourth proportional to 2,560.05, 3,835.97 and 2,314.01 is: 3,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.05 : 3,835.97 = 2,314.01 : x
  2. Step 2: Convert to fraction form
    2,560.05/3,835.97 = 2,314.01/x
  3. Step 3: Cross multiply
    2,560.05x = 3,835.97 × 2,314.01
  4. Step 4: Simplify right side
    2,560.05x = 8,876,472.94
  5. Step 5: Solve for x
    x = 8,876,472.94/2,560.05
  6. Step 6: Final answer
    x = 3,467.30

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