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Finding the Fourth Proportional to 3,198.69, 4,798.23 and 1,347.96

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Solution

The fourth proportional to 3,198.69, 4,798.23 and 1,347.96 is: 2,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.69 : 4,798.23 = 1,347.96 : x
  2. Step 2: Convert to fraction form
    3,198.69/4,798.23 = 1,347.96/x
  3. Step 3: Cross multiply
    3,198.69x = 4,798.23 × 1,347.96
  4. Step 4: Simplify right side
    3,198.69x = 6,467,822.11
  5. Step 5: Solve for x
    x = 6,467,822.11/3,198.69
  6. Step 6: Final answer
    x = 2,022.02

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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.