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Finding the Fourth Proportional to 2,183.98, 3,014.14 and 1,299.77

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Solution

The fourth proportional to 2,183.98, 3,014.14 and 1,299.77 is: 1,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.98 : 3,014.14 = 1,299.77 : x
  2. Step 2: Convert to fraction form
    2,183.98/3,014.14 = 1,299.77/x
  3. Step 3: Cross multiply
    2,183.98x = 3,014.14 × 1,299.77
  4. Step 4: Simplify right side
    2,183.98x = 3,917,688.75
  5. Step 5: Solve for x
    x = 3,917,688.75/2,183.98
  6. Step 6: Final answer
    x = 1,793.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.