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Finding the Fourth Proportional to 2,020.50, 3,031.08 and 721.89

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Solution

The fourth proportional to 2,020.50, 3,031.08 and 721.89 is: 1,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.50 : 3,031.08 = 721.89 : x
  2. Step 2: Convert to fraction form
    2,020.50/3,031.08 = 721.89/x
  3. Step 3: Cross multiply
    2,020.50x = 3,031.08 × 721.89
  4. Step 4: Simplify right side
    2,020.50x = 2,188,106.34
  5. Step 5: Solve for x
    x = 2,188,106.34/2,020.50
  6. Step 6: Final answer
    x = 1,082.95

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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.