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Finding the Fourth Proportional to 2,198, 3,292.88 and 1,101.08

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Solution

The fourth proportional to 2,198, 3,292.88 and 1,101.08 is: 1,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198 : 3,292.88 = 1,101.08 : x
  2. Step 2: Convert to fraction form
    2,198/3,292.88 = 1,101.08/x
  3. Step 3: Cross multiply
    2,198x = 3,292.88 × 1,101.08
  4. Step 4: Simplify right side
    2,198x = 3,625,724.31
  5. Step 5: Solve for x
    x = 3,625,724.31/2,198
  6. Step 6: Final answer
    x = 1,649.56

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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.