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Finding the Fourth Proportional to 2,198.47, 3,294.57 and 1,650.00

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Solution

The fourth proportional to 2,198.47, 3,294.57 and 1,650.00 is: 2,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.47 : 3,294.57 = 1,650.00 : x
  2. Step 2: Convert to fraction form
    2,198.47/3,294.57 = 1,650.00/x
  3. Step 3: Cross multiply
    2,198.47x = 3,294.57 × 1,650.00
  4. Step 4: Simplify right side
    2,198.47x = 5,436,031.24
  5. Step 5: Solve for x
    x = 5,436,031.24/2,198.47
  6. Step 6: Final answer
    x = 2,472.65

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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.