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Finding the Fourth Proportional to 2,137.12, 3,204.20 and 838.72

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Solution

The fourth proportional to 2,137.12, 3,204.20 and 838.72 is: 1,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.12 : 3,204.20 = 838.72 : x
  2. Step 2: Convert to fraction form
    2,137.12/3,204.20 = 838.72/x
  3. Step 3: Cross multiply
    2,137.12x = 3,204.20 × 838.72
  4. Step 4: Simplify right side
    2,137.12x = 2,687,426.62
  5. Step 5: Solve for x
    x = 2,687,426.62/2,137.12
  6. Step 6: Final answer
    x = 1,257.50

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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.