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Finding the Fourth Proportional to 2,296.20, 3,446.09 and 1,063.74

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Solution

The fourth proportional to 2,296.20, 3,446.09 and 1,063.74 is: 1,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.20 : 3,446.09 = 1,063.74 : x
  2. Step 2: Convert to fraction form
    2,296.20/3,446.09 = 1,063.74/x
  3. Step 3: Cross multiply
    2,296.20x = 3,446.09 × 1,063.74
  4. Step 4: Simplify right side
    2,296.20x = 3,665,738.46
  5. Step 5: Solve for x
    x = 3,665,738.46/2,296.20
  6. Step 6: Final answer
    x = 1,596.44

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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.