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Finding the Fourth Proportional to 2,020.50, 2,770.89 and 1,936.31

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Solution

The fourth proportional to 2,020.50, 2,770.89 and 1,936.31 is: 2,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.50 : 2,770.89 = 1,936.31 : x
  2. Step 2: Convert to fraction form
    2,020.50/2,770.89 = 1,936.31/x
  3. Step 3: Cross multiply
    2,020.50x = 2,770.89 × 1,936.31
  4. Step 4: Simplify right side
    2,020.50x = 5,365,302.02
  5. Step 5: Solve for x
    x = 5,365,302.02/2,020.50
  6. Step 6: Final answer
    x = 2,655.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.