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Finding the Fourth Proportional to 2,022.58, 3,033.89 and 635.89

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Solution

The fourth proportional to 2,022.58, 3,033.89 and 635.89 is: 953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.58 : 3,033.89 = 635.89 : x
  2. Step 2: Convert to fraction form
    2,022.58/3,033.89 = 635.89/x
  3. Step 3: Cross multiply
    2,022.58x = 3,033.89 × 635.89
  4. Step 4: Simplify right side
    2,022.58x = 1,929,205.14
  5. Step 5: Solve for x
    x = 1,929,205.14/2,022.58
  6. Step 6: Final answer
    x = 953.83

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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.