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Finding the Fourth Proportional to 2,020.56, 3,030.27 and 722.04

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Solution

The fourth proportional to 2,020.56, 3,030.27 and 722.04 is: 1,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.56 : 3,030.27 = 722.04 : x
  2. Step 2: Convert to fraction form
    2,020.56/3,030.27 = 722.04/x
  3. Step 3: Cross multiply
    2,020.56x = 3,030.27 × 722.04
  4. Step 4: Simplify right side
    2,020.56x = 2,187,976.15
  5. Step 5: Solve for x
    x = 2,187,976.15/2,020.56
  6. Step 6: Final answer
    x = 1,082.86

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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.