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Finding the Fourth Proportional to 2,644.60, 3,975.90 and 2,161.16

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Solution

The fourth proportional to 2,644.60, 3,975.90 and 2,161.16 is: 3,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.60 : 3,975.90 = 2,161.16 : x
  2. Step 2: Convert to fraction form
    2,644.60/3,975.90 = 2,161.16/x
  3. Step 3: Cross multiply
    2,644.60x = 3,975.90 × 2,161.16
  4. Step 4: Simplify right side
    2,644.60x = 8,592,556.04
  5. Step 5: Solve for x
    x = 8,592,556.04/2,644.60
  6. Step 6: Final answer
    x = 3,249.09

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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.