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Finding the Fourth Proportional to 4,532.75, 6,799.17 and 1,611.17

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Solution

The fourth proportional to 4,532.75, 6,799.17 and 1,611.17 is: 2,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.75 : 6,799.17 = 1,611.17 : x
  2. Step 2: Convert to fraction form
    4,532.75/6,799.17 = 1,611.17/x
  3. Step 3: Cross multiply
    4,532.75x = 6,799.17 × 1,611.17
  4. Step 4: Simplify right side
    4,532.75x = 10,954,618.73
  5. Step 5: Solve for x
    x = 10,954,618.73/4,532.75
  6. Step 6: Final answer
    x = 2,416.77

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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.