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Finding the Fourth Proportional to 2,081.92, 3,121.60 and 927.36

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Solution

The fourth proportional to 2,081.92, 3,121.60 and 927.36 is: 1,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.92 : 3,121.60 = 927.36 : x
  2. Step 2: Convert to fraction form
    2,081.92/3,121.60 = 927.36/x
  3. Step 3: Cross multiply
    2,081.92x = 3,121.60 × 927.36
  4. Step 4: Simplify right side
    2,081.92x = 2,894,846.98
  5. Step 5: Solve for x
    x = 2,894,846.98/2,081.92
  6. Step 6: Final answer
    x = 1,390.47

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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.