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Finding the Fourth Proportional to 3,021.68, 4,170.22 and 1,843.54

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Solution

The fourth proportional to 3,021.68, 4,170.22 and 1,843.54 is: 2,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.68 : 4,170.22 = 1,843.54 : x
  2. Step 2: Convert to fraction form
    3,021.68/4,170.22 = 1,843.54/x
  3. Step 3: Cross multiply
    3,021.68x = 4,170.22 × 1,843.54
  4. Step 4: Simplify right side
    3,021.68x = 7,687,967.38
  5. Step 5: Solve for x
    x = 7,687,967.38/3,021.68
  6. Step 6: Final answer
    x = 2,544.27

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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.