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Finding the Fourth Proportional to 2,138.85, 3,204.16 and 1,149.23

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Solution

The fourth proportional to 2,138.85, 3,204.16 and 1,149.23 is: 1,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.85 : 3,204.16 = 1,149.23 : x
  2. Step 2: Convert to fraction form
    2,138.85/3,204.16 = 1,149.23/x
  3. Step 3: Cross multiply
    2,138.85x = 3,204.16 × 1,149.23
  4. Step 4: Simplify right side
    2,138.85x = 3,682,321.93
  5. Step 5: Solve for x
    x = 3,682,321.93/2,138.85
  6. Step 6: Final answer
    x = 1,721.64

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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.