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Finding the Fourth Proportional to 4,819.72, 7,230.42 and 1,741

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Solution

The fourth proportional to 4,819.72, 7,230.42 and 1,741 is: 2,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.72 : 7,230.42 = 1,741 : x
  2. Step 2: Convert to fraction form
    4,819.72/7,230.42 = 1,741/x
  3. Step 3: Cross multiply
    4,819.72x = 7,230.42 × 1,741
  4. Step 4: Simplify right side
    4,819.72x = 12,588,161.22
  5. Step 5: Solve for x
    x = 12,588,161.22/4,819.72
  6. Step 6: Final answer
    x = 2,611.80

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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.