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Finding the Fourth Proportional to 2,041.27, 3,060.05 and 742.43

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Solution

The fourth proportional to 2,041.27, 3,060.05 and 742.43 is: 1,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.27 : 3,060.05 = 742.43 : x
  2. Step 2: Convert to fraction form
    2,041.27/3,060.05 = 742.43/x
  3. Step 3: Cross multiply
    2,041.27x = 3,060.05 × 742.43
  4. Step 4: Simplify right side
    2,041.27x = 2,271,876.86
  5. Step 5: Solve for x
    x = 2,271,876.86/2,041.27
  6. Step 6: Final answer
    x = 1,112.97

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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.