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Finding the Fourth Proportional to 2,198.45, 3,297.17 and 638.45

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Solution

The fourth proportional to 2,198.45, 3,297.17 and 638.45 is: 957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.45 : 3,297.17 = 638.45 : x
  2. Step 2: Convert to fraction form
    2,198.45/3,297.17 = 638.45/x
  3. Step 3: Cross multiply
    2,198.45x = 3,297.17 × 638.45
  4. Step 4: Simplify right side
    2,198.45x = 2,105,088.03
  5. Step 5: Solve for x
    x = 2,105,088.03/2,198.45
  6. Step 6: Final answer
    x = 957.53

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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.