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Finding the Fourth Proportional to 2,022.62, 3,034.17 and 983.19

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Solution

The fourth proportional to 2,022.62, 3,034.17 and 983.19 is: 1,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.62 : 3,034.17 = 983.19 : x
  2. Step 2: Convert to fraction form
    2,022.62/3,034.17 = 983.19/x
  3. Step 3: Cross multiply
    2,022.62x = 3,034.17 × 983.19
  4. Step 4: Simplify right side
    2,022.62x = 2,983,165.60
  5. Step 5: Solve for x
    x = 2,983,165.60/2,022.62
  6. Step 6: Final answer
    x = 1,474.91

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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.