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Finding the Fourth Proportional to 2,198.68, 3,296.17 and 1,503.65

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Solution

The fourth proportional to 2,198.68, 3,296.17 and 1,503.65 is: 2,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.68 : 3,296.17 = 1,503.65 : x
  2. Step 2: Convert to fraction form
    2,198.68/3,296.17 = 1,503.65/x
  3. Step 3: Cross multiply
    2,198.68x = 3,296.17 × 1,503.65
  4. Step 4: Simplify right side
    2,198.68x = 4,956,286.02
  5. Step 5: Solve for x
    x = 4,956,286.02/2,198.68
  6. Step 6: Final answer
    x = 2,254.21

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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.