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Finding the Fourth Proportional to 2,600.61, 3,894.78 and 2,256.75

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Solution

The fourth proportional to 2,600.61, 3,894.78 and 2,256.75 is: 3,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.61 : 3,894.78 = 2,256.75 : x
  2. Step 2: Convert to fraction form
    2,600.61/3,894.78 = 2,256.75/x
  3. Step 3: Cross multiply
    2,600.61x = 3,894.78 × 2,256.75
  4. Step 4: Simplify right side
    2,600.61x = 8,789,544.77
  5. Step 5: Solve for x
    x = 8,789,544.77/2,600.61
  6. Step 6: Final answer
    x = 3,379.80

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