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Finding the Fourth Proportional to 2,200.43, 3,296.04 and 1,031.43

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Solution

The fourth proportional to 2,200.43, 3,296.04 and 1,031.43 is: 1,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.43 : 3,296.04 = 1,031.43 : x
  2. Step 2: Convert to fraction form
    2,200.43/3,296.04 = 1,031.43/x
  3. Step 3: Cross multiply
    2,200.43x = 3,296.04 × 1,031.43
  4. Step 4: Simplify right side
    2,200.43x = 3,399,634.54
  5. Step 5: Solve for x
    x = 3,399,634.54/2,200.43
  6. Step 6: Final answer
    x = 1,544.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.