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Finding the Fourth Proportional to 1,912.96, 2,635.92 and 1,538.44

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Solution

The fourth proportional to 1,912.96, 2,635.92 and 1,538.44 is: 2,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.96 : 2,635.92 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    1,912.96/2,635.92 = 1,538.44/x
  3. Step 3: Cross multiply
    1,912.96x = 2,635.92 × 1,538.44
  4. Step 4: Simplify right side
    1,912.96x = 4,055,204.76
  5. Step 5: Solve for x
    x = 4,055,204.76/1,912.96
  6. Step 6: Final answer
    x = 2,119.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.