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Finding the Fourth Proportional to 3,198.92, 4,770.48 and 2,844.95

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Solution

The fourth proportional to 3,198.92, 4,770.48 and 2,844.95 is: 4,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.92 : 4,770.48 = 2,844.95 : x
  2. Step 2: Convert to fraction form
    3,198.92/4,770.48 = 2,844.95/x
  3. Step 3: Cross multiply
    3,198.92x = 4,770.48 × 2,844.95
  4. Step 4: Simplify right side
    3,198.92x = 13,571,762.85
  5. Step 5: Solve for x
    x = 13,571,762.85/3,198.92
  6. Step 6: Final answer
    x = 4,242.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.