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Finding the Fourth Proportional to 3,238.52, 4,469.22 and 1,822.19

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Solution

The fourth proportional to 3,238.52, 4,469.22 and 1,822.19 is: 2,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.52 : 4,469.22 = 1,822.19 : x
  2. Step 2: Convert to fraction form
    3,238.52/4,469.22 = 1,822.19/x
  3. Step 3: Cross multiply
    3,238.52x = 4,469.22 × 1,822.19
  4. Step 4: Simplify right side
    3,238.52x = 8,143,745.65
  5. Step 5: Solve for x
    x = 8,143,745.65/3,238.52
  6. Step 6: Final answer
    x = 2,514.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.