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Finding the Fourth Proportional to 2,912.20, 4,365.22 and 2,090.02

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Solution

The fourth proportional to 2,912.20, 4,365.22 and 2,090.02 is: 3,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.20 : 4,365.22 = 2,090.02 : x
  2. Step 2: Convert to fraction form
    2,912.20/4,365.22 = 2,090.02/x
  3. Step 3: Cross multiply
    2,912.20x = 4,365.22 × 2,090.02
  4. Step 4: Simplify right side
    2,912.20x = 9,123,380.97
  5. Step 5: Solve for x
    x = 9,123,380.97/2,912.20
  6. Step 6: Final answer
    x = 3,132.82

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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.