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Finding the Fourth Proportional to 2,020.68, 3,031.01 and 559.82

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Solution

The fourth proportional to 2,020.68, 3,031.01 and 559.82 is: 839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.68 : 3,031.01 = 559.82 : x
  2. Step 2: Convert to fraction form
    2,020.68/3,031.01 = 559.82/x
  3. Step 3: Cross multiply
    2,020.68x = 3,031.01 × 559.82
  4. Step 4: Simplify right side
    2,020.68x = 1,696,817.22
  5. Step 5: Solve for x
    x = 1,696,817.22/2,020.68
  6. Step 6: Final answer
    x = 839.73

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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.