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Finding the Fourth Proportional to 2,569.64, 3,850.77 and 1,269.59

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Solution

The fourth proportional to 2,569.64, 3,850.77 and 1,269.59 is: 1,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.64 : 3,850.77 = 1,269.59 : x
  2. Step 2: Convert to fraction form
    2,569.64/3,850.77 = 1,269.59/x
  3. Step 3: Cross multiply
    2,569.64x = 3,850.77 × 1,269.59
  4. Step 4: Simplify right side
    2,569.64x = 4,888,899.08
  5. Step 5: Solve for x
    x = 4,888,899.08/2,569.64
  6. Step 6: Final answer
    x = 1,902.56

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