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Finding the Fourth Proportional to 3,204, 4,804.16 and 1,448.33

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Solution

The fourth proportional to 3,204, 4,804.16 and 1,448.33 is: 2,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 4,804.16 = 1,448.33 : x
  2. Step 2: Convert to fraction form
    3,204/4,804.16 = 1,448.33/x
  3. Step 3: Cross multiply
    3,204x = 4,804.16 × 1,448.33
  4. Step 4: Simplify right side
    3,204x = 6,957,977.79
  5. Step 5: Solve for x
    x = 6,957,977.79/3,204
  6. Step 6: Final answer
    x = 2,171.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.