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Finding the Fourth Proportional to 2,569.62, 3,854.67 and 1,183.34

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Solution

The fourth proportional to 2,569.62, 3,854.67 and 1,183.34 is: 1,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.62 : 3,854.67 = 1,183.34 : x
  2. Step 2: Convert to fraction form
    2,569.62/3,854.67 = 1,183.34/x
  3. Step 3: Cross multiply
    2,569.62x = 3,854.67 × 1,183.34
  4. Step 4: Simplify right side
    2,569.62x = 4,561,385.20
  5. Step 5: Solve for x
    x = 4,561,385.20/2,569.62
  6. Step 6: Final answer
    x = 1,775.12

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