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Finding the Fourth Proportional to 2,608.40, 3,906.84 and 2,546.48

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Solution

The fourth proportional to 2,608.40, 3,906.84 and 2,546.48 is: 3,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.40 : 3,906.84 = 2,546.48 : x
  2. Step 2: Convert to fraction form
    2,608.40/3,906.84 = 2,546.48/x
  3. Step 3: Cross multiply
    2,608.40x = 3,906.84 × 2,546.48
  4. Step 4: Simplify right side
    2,608.40x = 9,948,689.92
  5. Step 5: Solve for x
    x = 9,948,689.92/2,608.40
  6. Step 6: Final answer
    x = 3,814.10

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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.