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Finding the Fourth Proportional to 2,021.90, 3,032.88 and 635.20

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Solution

The fourth proportional to 2,021.90, 3,032.88 and 635.20 is: 952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.90 : 3,032.88 = 635.20 : x
  2. Step 2: Convert to fraction form
    2,021.90/3,032.88 = 635.20/x
  3. Step 3: Cross multiply
    2,021.90x = 3,032.88 × 635.20
  4. Step 4: Simplify right side
    2,021.90x = 1,926,485.38
  5. Step 5: Solve for x
    x = 1,926,485.38/2,021.90
  6. Step 6: Final answer
    x = 952.81

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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.