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Finding the Fourth Proportional to 2,138.37, 3,205.47 and 1,098.87

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Solution

The fourth proportional to 2,138.37, 3,205.47 and 1,098.87 is: 1,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.37 : 3,205.47 = 1,098.87 : x
  2. Step 2: Convert to fraction form
    2,138.37/3,205.47 = 1,098.87/x
  3. Step 3: Cross multiply
    2,138.37x = 3,205.47 × 1,098.87
  4. Step 4: Simplify right side
    2,138.37x = 3,522,394.82
  5. Step 5: Solve for x
    x = 3,522,394.82/2,138.37
  6. Step 6: Final answer
    x = 1,647.23

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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.