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Finding the Fourth Proportional to 2,020.97, 3,032.61 and 850.88

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Solution

The fourth proportional to 2,020.97, 3,032.61 and 850.88 is: 1,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.97 : 3,032.61 = 850.88 : x
  2. Step 2: Convert to fraction form
    2,020.97/3,032.61 = 850.88/x
  3. Step 3: Cross multiply
    2,020.97x = 3,032.61 × 850.88
  4. Step 4: Simplify right side
    2,020.97x = 2,580,372.03
  5. Step 5: Solve for x
    x = 2,580,372.03/2,020.97
  6. Step 6: Final answer
    x = 1,276.80

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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.