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Finding the Fourth Proportional to 1,605.69, 2,410.97 and 1,424.25

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Solution

The fourth proportional to 1,605.69, 2,410.97 and 1,424.25 is: 2,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.69 : 2,410.97 = 1,424.25 : x
  2. Step 2: Convert to fraction form
    1,605.69/2,410.97 = 1,424.25/x
  3. Step 3: Cross multiply
    1,605.69x = 2,410.97 × 1,424.25
  4. Step 4: Simplify right side
    1,605.69x = 3,433,816.90
  5. Step 5: Solve for x
    x = 3,433,816.90/1,605.69
  6. Step 6: Final answer
    x = 2,138.53

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