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Finding the Fourth Proportional to 2,183.95, 3,014.10 and 1,299.76

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Solution

The fourth proportional to 2,183.95, 3,014.10 and 1,299.76 is: 1,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.95 : 3,014.10 = 1,299.76 : x
  2. Step 2: Convert to fraction form
    2,183.95/3,014.10 = 1,299.76/x
  3. Step 3: Cross multiply
    2,183.95x = 3,014.10 × 1,299.76
  4. Step 4: Simplify right side
    2,183.95x = 3,917,591.55
  5. Step 5: Solve for x
    x = 3,917,591.55/2,183.95
  6. Step 6: Final answer
    x = 1,793.81

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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.