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Finding the Fourth Proportional to 2,198.44, 3,298.49 and 812.70

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Solution

The fourth proportional to 2,198.44, 3,298.49 and 812.70 is: 1,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.44 : 3,298.49 = 812.70 : x
  2. Step 2: Convert to fraction form
    2,198.44/3,298.49 = 812.70/x
  3. Step 3: Cross multiply
    2,198.44x = 3,298.49 × 812.70
  4. Step 4: Simplify right side
    2,198.44x = 2,680,681.81
  5. Step 5: Solve for x
    x = 2,680,681.81/2,198.44
  6. Step 6: Final answer
    x = 1,219.36

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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.