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Finding the Fourth Proportional to 3,199.70, 4,800.69 and 1,120.28

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Solution

The fourth proportional to 3,199.70, 4,800.69 and 1,120.28 is: 1,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.70 : 4,800.69 = 1,120.28 : x
  2. Step 2: Convert to fraction form
    3,199.70/4,800.69 = 1,120.28/x
  3. Step 3: Cross multiply
    3,199.70x = 4,800.69 × 1,120.28
  4. Step 4: Simplify right side
    3,199.70x = 5,378,092.99
  5. Step 5: Solve for x
    x = 5,378,092.99/3,199.70
  6. Step 6: Final answer
    x = 1,680.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.