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Finding the Fourth Proportional to 2,644.44, 3,971.16 and 2,205.24

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Solution

The fourth proportional to 2,644.44, 3,971.16 and 2,205.24 is: 3,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.44 : 3,971.16 = 2,205.24 : x
  2. Step 2: Convert to fraction form
    2,644.44/3,971.16 = 2,205.24/x
  3. Step 3: Cross multiply
    2,644.44x = 3,971.16 × 2,205.24
  4. Step 4: Simplify right side
    2,644.44x = 8,757,360.88
  5. Step 5: Solve for x
    x = 8,757,360.88/2,644.44
  6. Step 6: Final answer
    x = 3,311.61

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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.