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Finding the Fourth Proportional to 2,020.74, 3,031.14 and 559.92

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Solution

The fourth proportional to 2,020.74, 3,031.14 and 559.92 is: 839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.74 : 3,031.14 = 559.92 : x
  2. Step 2: Convert to fraction form
    2,020.74/3,031.14 = 559.92/x
  3. Step 3: Cross multiply
    2,020.74x = 3,031.14 × 559.92
  4. Step 4: Simplify right side
    2,020.74x = 1,697,195.91
  5. Step 5: Solve for x
    x = 1,697,195.91/2,020.74
  6. Step 6: Final answer
    x = 839.89

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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.