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Finding the Fourth Proportional to 3,059.62, 4,578.09 and 1,827.70

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Solution

The fourth proportional to 3,059.62, 4,578.09 and 1,827.70 is: 2,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.62 : 4,578.09 = 1,827.70 : x
  2. Step 2: Convert to fraction form
    3,059.62/4,578.09 = 1,827.70/x
  3. Step 3: Cross multiply
    3,059.62x = 4,578.09 × 1,827.70
  4. Step 4: Simplify right side
    3,059.62x = 8,367,375.09
  5. Step 5: Solve for x
    x = 8,367,375.09/3,059.62
  6. Step 6: Final answer
    x = 2,734.78

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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.