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Finding the Fourth Proportional to 2,583.55, 3,874.64 and 1,542.75

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Solution

The fourth proportional to 2,583.55, 3,874.64 and 1,542.75 is: 2,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.55 : 3,874.64 = 1,542.75 : x
  2. Step 2: Convert to fraction form
    2,583.55/3,874.64 = 1,542.75/x
  3. Step 3: Cross multiply
    2,583.55x = 3,874.64 × 1,542.75
  4. Step 4: Simplify right side
    2,583.55x = 5,977,578.62
  5. Step 5: Solve for x
    x = 5,977,578.62/2,583.55
  6. Step 6: Final answer
    x = 2,313.71

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