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Finding the Fourth Proportional to 3,463.67, 5,197.02 and 1,819.83

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Solution

The fourth proportional to 3,463.67, 5,197.02 and 1,819.83 is: 2,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.67 : 5,197.02 = 1,819.83 : x
  2. Step 2: Convert to fraction form
    3,463.67/5,197.02 = 1,819.83/x
  3. Step 3: Cross multiply
    3,463.67x = 5,197.02 × 1,819.83
  4. Step 4: Simplify right side
    3,463.67x = 9,457,692.91
  5. Step 5: Solve for x
    x = 9,457,692.91/3,463.67
  6. Step 6: Final answer
    x = 2,730.54

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1.5x scale

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.