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Finding the Fourth Proportional to 2,198.82, 3,298.23 and 555.50

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Solution

The fourth proportional to 2,198.82, 3,298.23 and 555.50 is: 833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.82 : 3,298.23 = 555.50 : x
  2. Step 2: Convert to fraction form
    2,198.82/3,298.23 = 555.50/x
  3. Step 3: Cross multiply
    2,198.82x = 3,298.23 × 555.50
  4. Step 4: Simplify right side
    2,198.82x = 1,832,147.50
  5. Step 5: Solve for x
    x = 1,832,147.50/2,198.82
  6. Step 6: Final answer
    x = 833.24

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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.