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Finding the Fourth Proportional to 2,031.90, 3,047.57 and 798.99

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Solution

The fourth proportional to 2,031.90, 3,047.57 and 798.99 is: 1,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.90 : 3,047.57 = 798.99 : x
  2. Step 2: Convert to fraction form
    2,031.90/3,047.57 = 798.99/x
  3. Step 3: Cross multiply
    2,031.90x = 3,047.57 × 798.99
  4. Step 4: Simplify right side
    2,031.90x = 2,434,977.95
  5. Step 5: Solve for x
    x = 2,434,977.95/2,031.90
  6. Step 6: Final answer
    x = 1,198.37

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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.