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Finding the Fourth Proportional to 1,861.86, 2,794.59 and 1,418.97

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Solution

The fourth proportional to 1,861.86, 2,794.59 and 1,418.97 is: 2,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.86 : 2,794.59 = 1,418.97 : x
  2. Step 2: Convert to fraction form
    1,861.86/2,794.59 = 1,418.97/x
  3. Step 3: Cross multiply
    1,861.86x = 2,794.59 × 1,418.97
  4. Step 4: Simplify right side
    1,861.86x = 3,965,439.37
  5. Step 5: Solve for x
    x = 3,965,439.37/1,861.86
  6. Step 6: Final answer
    x = 2,129.83

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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.