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Finding the Fourth Proportional to 2,022.40, 3,032.82 and 635.44

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Solution

The fourth proportional to 2,022.40, 3,032.82 and 635.44 is: 952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.40 : 3,032.82 = 635.44 : x
  2. Step 2: Convert to fraction form
    2,022.40/3,032.82 = 635.44/x
  3. Step 3: Cross multiply
    2,022.40x = 3,032.82 × 635.44
  4. Step 4: Simplify right side
    2,022.40x = 1,927,175.14
  5. Step 5: Solve for x
    x = 1,927,175.14/2,022.40
  6. Step 6: Final answer
    x = 952.91

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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.