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Finding the Fourth Proportional to 2,020.20, 3,030.37 and 559.37

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Solution

The fourth proportional to 2,020.20, 3,030.37 and 559.37 is: 839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.20 : 3,030.37 = 559.37 : x
  2. Step 2: Convert to fraction form
    2,020.20/3,030.37 = 559.37/x
  3. Step 3: Cross multiply
    2,020.20x = 3,030.37 × 559.37
  4. Step 4: Simplify right side
    2,020.20x = 1,695,098.07
  5. Step 5: Solve for x
    x = 1,695,098.07/2,020.20
  6. Step 6: Final answer
    x = 839.07

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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.