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Finding the Fourth Proportional to 2,609.23, 3,914.04 and 760.37

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Solution

The fourth proportional to 2,609.23, 3,914.04 and 760.37 is: 1,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.23 : 3,914.04 = 760.37 : x
  2. Step 2: Convert to fraction form
    2,609.23/3,914.04 = 760.37/x
  3. Step 3: Cross multiply
    2,609.23x = 3,914.04 × 760.37
  4. Step 4: Simplify right side
    2,609.23x = 2,976,118.59
  5. Step 5: Solve for x
    x = 2,976,118.59/2,609.23
  6. Step 6: Final answer
    x = 1,140.61

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