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Finding the Fourth Proportional to 2,387.62, 3,583.86 and 1,605.16

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Solution

The fourth proportional to 2,387.62, 3,583.86 and 1,605.16 is: 2,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.62 : 3,583.86 = 1,605.16 : x
  2. Step 2: Convert to fraction form
    2,387.62/3,583.86 = 1,605.16/x
  3. Step 3: Cross multiply
    2,387.62x = 3,583.86 × 1,605.16
  4. Step 4: Simplify right side
    2,387.62x = 5,752,668.72
  5. Step 5: Solve for x
    x = 5,752,668.72/2,387.62
  6. Step 6: Final answer
    x = 2,409.37

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