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Finding the Fourth Proportional to 2,608.83, 3,910.50 and 1,914.45

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Solution

The fourth proportional to 2,608.83, 3,910.50 and 1,914.45 is: 2,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.83 : 3,910.50 = 1,914.45 : x
  2. Step 2: Convert to fraction form
    2,608.83/3,910.50 = 1,914.45/x
  3. Step 3: Cross multiply
    2,608.83x = 3,910.50 × 1,914.45
  4. Step 4: Simplify right side
    2,608.83x = 7,486,456.73
  5. Step 5: Solve for x
    x = 7,486,456.73/2,608.83
  6. Step 6: Final answer
    x = 2,869.66

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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.