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Finding the Fourth Proportional to 2,031.85, 3,047.79 and 733.03

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Solution

The fourth proportional to 2,031.85, 3,047.79 and 733.03 is: 1,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.85 : 3,047.79 = 733.03 : x
  2. Step 2: Convert to fraction form
    2,031.85/3,047.79 = 733.03/x
  3. Step 3: Cross multiply
    2,031.85x = 3,047.79 × 733.03
  4. Step 4: Simplify right side
    2,031.85x = 2,234,121.50
  5. Step 5: Solve for x
    x = 2,234,121.50/2,031.85
  6. Step 6: Final answer
    x = 1,099.55

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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.