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Finding the Fourth Proportional to 2,316.69, 3,471.80 and 1,664.37

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Solution

The fourth proportional to 2,316.69, 3,471.80 and 1,664.37 is: 2,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.69 : 3,471.80 = 1,664.37 : x
  2. Step 2: Convert to fraction form
    2,316.69/3,471.80 = 1,664.37/x
  3. Step 3: Cross multiply
    2,316.69x = 3,471.80 × 1,664.37
  4. Step 4: Simplify right side
    2,316.69x = 5,778,351.44
  5. Step 5: Solve for x
    x = 5,778,351.44/2,316.69
  6. Step 6: Final answer
    x = 2,494.23

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