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Finding the Fourth Proportional to 2,031.20, 3,047.16 and 798.68

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Solution

The fourth proportional to 2,031.20, 3,047.16 and 798.68 is: 1,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.20 : 3,047.16 = 798.68 : x
  2. Step 2: Convert to fraction form
    2,031.20/3,047.16 = 798.68/x
  3. Step 3: Cross multiply
    2,031.20x = 3,047.16 × 798.68
  4. Step 4: Simplify right side
    2,031.20x = 2,433,705.75
  5. Step 5: Solve for x
    x = 2,433,705.75/2,031.20
  6. Step 6: Final answer
    x = 1,198.16

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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.