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Finding the Fourth Proportional to 2,031.61, 3,046.74 and 798.70

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Solution

The fourth proportional to 2,031.61, 3,046.74 and 798.70 is: 1,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.61 : 3,046.74 = 798.70 : x
  2. Step 2: Convert to fraction form
    2,031.61/3,046.74 = 798.70/x
  3. Step 3: Cross multiply
    2,031.61x = 3,046.74 × 798.70
  4. Step 4: Simplify right side
    2,031.61x = 2,433,431.24
  5. Step 5: Solve for x
    x = 2,433,431.24/2,031.61
  6. Step 6: Final answer
    x = 1,197.78

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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.