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Finding the Fourth Proportional to 2,198.09, 3,296.63 and 637.74

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Solution

The fourth proportional to 2,198.09, 3,296.63 and 637.74 is: 956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.09 : 3,296.63 = 637.74 : x
  2. Step 2: Convert to fraction form
    2,198.09/3,296.63 = 637.74/x
  3. Step 3: Cross multiply
    2,198.09x = 3,296.63 × 637.74
  4. Step 4: Simplify right side
    2,198.09x = 2,102,394.41
  5. Step 5: Solve for x
    x = 2,102,394.41/2,198.09
  6. Step 6: Final answer
    x = 956.46

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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.