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Finding the Fourth Proportional to 2,020.29, 3,029.95 and 559.56

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Solution

The fourth proportional to 2,020.29, 3,029.95 and 559.56 is: 839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.29 : 3,029.95 = 559.56 : x
  2. Step 2: Convert to fraction form
    2,020.29/3,029.95 = 559.56/x
  3. Step 3: Cross multiply
    2,020.29x = 3,029.95 × 559.56
  4. Step 4: Simplify right side
    2,020.29x = 1,695,438.82
  5. Step 5: Solve for x
    x = 1,695,438.82/2,020.29
  6. Step 6: Final answer
    x = 839.21

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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.