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Finding the Fourth Proportional to 2,034.27, 3,051.27 and 994.14

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Solution

The fourth proportional to 2,034.27, 3,051.27 and 994.14 is: 1,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.27 : 3,051.27 = 994.14 : x
  2. Step 2: Convert to fraction form
    2,034.27/3,051.27 = 994.14/x
  3. Step 3: Cross multiply
    2,034.27x = 3,051.27 × 994.14
  4. Step 4: Simplify right side
    2,034.27x = 3,033,389.56
  5. Step 5: Solve for x
    x = 3,033,389.56/2,034.27
  6. Step 6: Final answer
    x = 1,491.14

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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.