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Finding the Fourth Proportional to 2,022.27, 3,034.14 and 706.22

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Solution

The fourth proportional to 2,022.27, 3,034.14 and 706.22 is: 1,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.27 : 3,034.14 = 706.22 : x
  2. Step 2: Convert to fraction form
    2,022.27/3,034.14 = 706.22/x
  3. Step 3: Cross multiply
    2,022.27x = 3,034.14 × 706.22
  4. Step 4: Simplify right side
    2,022.27x = 2,142,757.01
  5. Step 5: Solve for x
    x = 2,142,757.01/2,022.27
  6. Step 6: Final answer
    x = 1,059.58

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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.