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Finding the Fourth Proportional to 3,206.82, 4,806.64 and 2,098.37

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Solution

The fourth proportional to 3,206.82, 4,806.64 and 2,098.37 is: 3,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.82 : 4,806.64 = 2,098.37 : x
  2. Step 2: Convert to fraction form
    3,206.82/4,806.64 = 2,098.37/x
  3. Step 3: Cross multiply
    3,206.82x = 4,806.64 × 2,098.37
  4. Step 4: Simplify right side
    3,206.82x = 10,086,109.18
  5. Step 5: Solve for x
    x = 10,086,109.18/3,206.82
  6. Step 6: Final answer
    x = 3,145.21

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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.