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Finding the Fourth Proportional to 3,364.48, 5,046.81 and 1,609.69

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Solution

The fourth proportional to 3,364.48, 5,046.81 and 1,609.69 is: 2,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.48 : 5,046.81 = 1,609.69 : x
  2. Step 2: Convert to fraction form
    3,364.48/5,046.81 = 1,609.69/x
  3. Step 3: Cross multiply
    3,364.48x = 5,046.81 × 1,609.69
  4. Step 4: Simplify right side
    3,364.48x = 8,123,799.59
  5. Step 5: Solve for x
    x = 8,123,799.59/3,364.48
  6. Step 6: Final answer
    x = 2,414.58

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