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Finding the Fourth Proportional to 1,902.22, 2,614.97 and 1,635.68

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Solution

The fourth proportional to 1,902.22, 2,614.97 and 1,635.68 is: 2,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.22 : 2,614.97 = 1,635.68 : x
  2. Step 2: Convert to fraction form
    1,902.22/2,614.97 = 1,635.68/x
  3. Step 3: Cross multiply
    1,902.22x = 2,614.97 × 1,635.68
  4. Step 4: Simplify right side
    1,902.22x = 4,277,254.13
  5. Step 5: Solve for x
    x = 4,277,254.13/1,902.22
  6. Step 6: Final answer
    x = 2,248.56

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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.