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Finding the Fourth Proportional to 2,020.27, 3,030.40 and 559.43

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Solution

The fourth proportional to 2,020.27, 3,030.40 and 559.43 is: 839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.27 : 3,030.40 = 559.43 : x
  2. Step 2: Convert to fraction form
    2,020.27/3,030.40 = 559.43/x
  3. Step 3: Cross multiply
    2,020.27x = 3,030.40 × 559.43
  4. Step 4: Simplify right side
    2,020.27x = 1,695,304.95
  5. Step 5: Solve for x
    x = 1,695,304.95/2,020.27
  6. Step 6: Final answer
    x = 839.15

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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.