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Finding the Fourth Proportional to 2,407.88, 3,608.52 and 2,168.12

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Solution

The fourth proportional to 2,407.88, 3,608.52 and 2,168.12 is: 3,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.88 : 3,608.52 = 2,168.12 : x
  2. Step 2: Convert to fraction form
    2,407.88/3,608.52 = 2,168.12/x
  3. Step 3: Cross multiply
    2,407.88x = 3,608.52 × 2,168.12
  4. Step 4: Simplify right side
    2,407.88x = 7,823,704.38
  5. Step 5: Solve for x
    x = 7,823,704.38/2,407.88
  6. Step 6: Final answer
    x = 3,249.21

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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.