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Finding the Fourth Proportional to 1,605.57, 2,409.72 and 1,144.48

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Solution

The fourth proportional to 1,605.57, 2,409.72 and 1,144.48 is: 1,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.57 : 2,409.72 = 1,144.48 : x
  2. Step 2: Convert to fraction form
    1,605.57/2,409.72 = 1,144.48/x
  3. Step 3: Cross multiply
    1,605.57x = 2,409.72 × 1,144.48
  4. Step 4: Simplify right side
    1,605.57x = 2,757,864.30
  5. Step 5: Solve for x
    x = 2,757,864.30/1,605.57
  6. Step 6: Final answer
    x = 1,717.69

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