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Finding the Fourth Proportional to 1,611.40, 2,414.94 and 1,481.80

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Solution

The fourth proportional to 1,611.40, 2,414.94 and 1,481.80 is: 2,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.40 : 2,414.94 = 1,481.80 : x
  2. Step 2: Convert to fraction form
    1,611.40/2,414.94 = 1,481.80/x
  3. Step 3: Cross multiply
    1,611.40x = 2,414.94 × 1,481.80
  4. Step 4: Simplify right side
    1,611.40x = 3,578,458.09
  5. Step 5: Solve for x
    x = 3,578,458.09/1,611.40
  6. Step 6: Final answer
    x = 2,220.71

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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.