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Finding the Fourth Proportional to 3,198.92, 4,798.92 and 1,467.50

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Solution

The fourth proportional to 3,198.92, 4,798.92 and 1,467.50 is: 2,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.92 : 4,798.92 = 1,467.50 : x
  2. Step 2: Convert to fraction form
    3,198.92/4,798.92 = 1,467.50/x
  3. Step 3: Cross multiply
    3,198.92x = 4,798.92 × 1,467.50
  4. Step 4: Simplify right side
    3,198.92x = 7,042,415.10
  5. Step 5: Solve for x
    x = 7,042,415.10/3,198.92
  6. Step 6: Final answer
    x = 2,201.50

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1.5x scale

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.