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Finding the Fourth Proportional to 2,022.38, 3,032.54 and 635.86

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Solution

The fourth proportional to 2,022.38, 3,032.54 and 635.86 is: 953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.38 : 3,032.54 = 635.86 : x
  2. Step 2: Convert to fraction form
    2,022.38/3,032.54 = 635.86/x
  3. Step 3: Cross multiply
    2,022.38x = 3,032.54 × 635.86
  4. Step 4: Simplify right side
    2,022.38x = 1,928,270.88
  5. Step 5: Solve for x
    x = 1,928,270.88/2,022.38
  6. Step 6: Final answer
    x = 953.47

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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.