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Finding the Fourth Proportional to 2,198.82, 3,295.95 and 900.18

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Solution

The fourth proportional to 2,198.82, 3,295.95 and 900.18 is: 1,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.82 : 3,295.95 = 900.18 : x
  2. Step 2: Convert to fraction form
    2,198.82/3,295.95 = 900.18/x
  3. Step 3: Cross multiply
    2,198.82x = 3,295.95 × 900.18
  4. Step 4: Simplify right side
    2,198.82x = 2,966,948.27
  5. Step 5: Solve for x
    x = 2,966,948.27/2,198.82
  6. Step 6: Final answer
    x = 1,349.34

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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.