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Finding the Fourth Proportional to 3,197.49, 4,411.50 and 1,799.97

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Solution

The fourth proportional to 3,197.49, 4,411.50 and 1,799.97 is: 2,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.49 : 4,411.50 = 1,799.97 : x
  2. Step 2: Convert to fraction form
    3,197.49/4,411.50 = 1,799.97/x
  3. Step 3: Cross multiply
    3,197.49x = 4,411.50 × 1,799.97
  4. Step 4: Simplify right side
    3,197.49x = 7,940,567.66
  5. Step 5: Solve for x
    x = 7,940,567.66/3,197.49
  6. Step 6: Final answer
    x = 2,483.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.