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Finding the Fourth Proportional to 2,022.12, 3,032 and 635.08

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Solution

The fourth proportional to 2,022.12, 3,032 and 635.08 is: 952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.12 : 3,032 = 635.08 : x
  2. Step 2: Convert to fraction form
    2,022.12/3,032 = 635.08/x
  3. Step 3: Cross multiply
    2,022.12x = 3,032 × 635.08
  4. Step 4: Simplify right side
    2,022.12x = 1,925,562.56
  5. Step 5: Solve for x
    x = 1,925,562.56/2,022.12
  6. Step 6: Final answer
    x = 952.25

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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.