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Finding the Fourth Proportional to 2,194.77, 3,286.38 and 1,753.98

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Solution

The fourth proportional to 2,194.77, 3,286.38 and 1,753.98 is: 2,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.77 : 3,286.38 = 1,753.98 : x
  2. Step 2: Convert to fraction form
    2,194.77/3,286.38 = 1,753.98/x
  3. Step 3: Cross multiply
    2,194.77x = 3,286.38 × 1,753.98
  4. Step 4: Simplify right side
    2,194.77x = 5,764,244.79
  5. Step 5: Solve for x
    x = 5,764,244.79/2,194.77
  6. Step 6: Final answer
    x = 2,626.35

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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.