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Finding the Fourth Proportional to 3,091.92, 4,265.94 and 1,832.42

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Solution

The fourth proportional to 3,091.92, 4,265.94 and 1,832.42 is: 2,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.92 : 4,265.94 = 1,832.42 : x
  2. Step 2: Convert to fraction form
    3,091.92/4,265.94 = 1,832.42/x
  3. Step 3: Cross multiply
    3,091.92x = 4,265.94 × 1,832.42
  4. Step 4: Simplify right side
    3,091.92x = 7,816,993.77
  5. Step 5: Solve for x
    x = 7,816,993.77/3,091.92
  6. Step 6: Final answer
    x = 2,528.20

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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.