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Finding the Fourth Proportional to 1,645.92, 2,468.78 and 1,161.14

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Solution

The fourth proportional to 1,645.92, 2,468.78 and 1,161.14 is: 1,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.92 : 2,468.78 = 1,161.14 : x
  2. Step 2: Convert to fraction form
    1,645.92/2,468.78 = 1,161.14/x
  3. Step 3: Cross multiply
    1,645.92x = 2,468.78 × 1,161.14
  4. Step 4: Simplify right side
    1,645.92x = 2,866,585.41
  5. Step 5: Solve for x
    x = 2,866,585.41/1,645.92
  6. Step 6: Final answer
    x = 1,741.63

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