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Finding the Fourth Proportional to 2,039.92, 3,060.33 and 741.38

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Solution

The fourth proportional to 2,039.92, 3,060.33 and 741.38 is: 1,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.92 : 3,060.33 = 741.38 : x
  2. Step 2: Convert to fraction form
    2,039.92/3,060.33 = 741.38/x
  3. Step 3: Cross multiply
    2,039.92x = 3,060.33 × 741.38
  4. Step 4: Simplify right side
    2,039.92x = 2,268,849.37
  5. Step 5: Solve for x
    x = 2,268,849.37/2,039.92
  6. Step 6: Final answer
    x = 1,112.23

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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.