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Finding the Fourth Proportional to 2,031.29, 3,046.80 and 798.92

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Solution

The fourth proportional to 2,031.29, 3,046.80 and 798.92 is: 1,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.29 : 3,046.80 = 798.92 : x
  2. Step 2: Convert to fraction form
    2,031.29/3,046.80 = 798.92/x
  3. Step 3: Cross multiply
    2,031.29x = 3,046.80 × 798.92
  4. Step 4: Simplify right side
    2,031.29x = 2,434,134.22
  5. Step 5: Solve for x
    x = 2,434,134.22/2,031.29
  6. Step 6: Final answer
    x = 1,198.32

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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.