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Finding the Fourth Proportional to 4,198.61, 6,292.14 and 1,944.49

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Solution

The fourth proportional to 4,198.61, 6,292.14 and 1,944.49 is: 2,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.61 : 6,292.14 = 1,944.49 : x
  2. Step 2: Convert to fraction form
    4,198.61/6,292.14 = 1,944.49/x
  3. Step 3: Cross multiply
    4,198.61x = 6,292.14 × 1,944.49
  4. Step 4: Simplify right side
    4,198.61x = 12,234,971.85
  5. Step 5: Solve for x
    x = 12,234,971.85/4,198.61
  6. Step 6: Final answer
    x = 2,914.05

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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.