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Finding the Fourth Proportional to 4,121.96, 6,183.95 and 1,200.29

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Solution

The fourth proportional to 4,121.96, 6,183.95 and 1,200.29 is: 1,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.96 : 6,183.95 = 1,200.29 : x
  2. Step 2: Convert to fraction form
    4,121.96/6,183.95 = 1,200.29/x
  3. Step 3: Cross multiply
    4,121.96x = 6,183.95 × 1,200.29
  4. Step 4: Simplify right side
    4,121.96x = 7,422,496.42
  5. Step 5: Solve for x
    x = 7,422,496.42/4,121.96
  6. Step 6: Final answer
    x = 1,800.72

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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.