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Finding the Fourth Proportional to 2,138.80, 3,207.12 and 1,357.44

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Solution

The fourth proportional to 2,138.80, 3,207.12 and 1,357.44 is: 2,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.80 : 3,207.12 = 1,357.44 : x
  2. Step 2: Convert to fraction form
    2,138.80/3,207.12 = 1,357.44/x
  3. Step 3: Cross multiply
    2,138.80x = 3,207.12 × 1,357.44
  4. Step 4: Simplify right side
    2,138.80x = 4,353,472.97
  5. Step 5: Solve for x
    x = 4,353,472.97/2,138.80
  6. Step 6: Final answer
    x = 2,035.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.