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Finding the Fourth Proportional to 2,138.39, 3,208.37 and 1,098.65

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Solution

The fourth proportional to 2,138.39, 3,208.37 and 1,098.65 is: 1,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.39 : 3,208.37 = 1,098.65 : x
  2. Step 2: Convert to fraction form
    2,138.39/3,208.37 = 1,098.65/x
  3. Step 3: Cross multiply
    2,138.39x = 3,208.37 × 1,098.65
  4. Step 4: Simplify right side
    2,138.39x = 3,524,870.21
  5. Step 5: Solve for x
    x = 3,524,870.21/2,138.39
  6. Step 6: Final answer
    x = 1,648.38

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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.