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Finding the Fourth Proportional to 2,020.29, 3,030.10 and 559.59

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Solution

The fourth proportional to 2,020.29, 3,030.10 and 559.59 is: 839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.29 : 3,030.10 = 559.59 : x
  2. Step 2: Convert to fraction form
    2,020.29/3,030.10 = 559.59/x
  3. Step 3: Cross multiply
    2,020.29x = 3,030.10 × 559.59
  4. Step 4: Simplify right side
    2,020.29x = 1,695,612.26
  5. Step 5: Solve for x
    x = 1,695,612.26/2,020.29
  6. Step 6: Final answer
    x = 839.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.