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Finding the Fourth Proportional to 3,091.91, 4,267.62 and 1,912.32

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Solution

The fourth proportional to 3,091.91, 4,267.62 and 1,912.32 is: 2,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.91 : 4,267.62 = 1,912.32 : x
  2. Step 2: Convert to fraction form
    3,091.91/4,267.62 = 1,912.32/x
  3. Step 3: Cross multiply
    3,091.91x = 4,267.62 × 1,912.32
  4. Step 4: Simplify right side
    3,091.91x = 8,161,055.08
  5. Step 5: Solve for x
    x = 8,161,055.08/3,091.91
  6. Step 6: Final answer
    x = 2,639.49

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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.