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Finding the Fourth Proportional to 2,861.37, 3,947.27 and 1,811.61

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Solution

The fourth proportional to 2,861.37, 3,947.27 and 1,811.61 is: 2,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.37 : 3,947.27 = 1,811.61 : x
  2. Step 2: Convert to fraction form
    2,861.37/3,947.27 = 1,811.61/x
  3. Step 3: Cross multiply
    2,861.37x = 3,947.27 × 1,811.61
  4. Step 4: Simplify right side
    2,861.37x = 7,150,904.75
  5. Step 5: Solve for x
    x = 7,150,904.75/2,861.37
  6. Step 6: Final answer
    x = 2,499.12

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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.