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Finding the Fourth Proportional to 3,208.87, 4,811.23 and 1,261.27

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Solution

The fourth proportional to 3,208.87, 4,811.23 and 1,261.27 is: 1,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.87 : 4,811.23 = 1,261.27 : x
  2. Step 2: Convert to fraction form
    3,208.87/4,811.23 = 1,261.27/x
  3. Step 3: Cross multiply
    3,208.87x = 4,811.23 × 1,261.27
  4. Step 4: Simplify right side
    3,208.87x = 6,068,260.06
  5. Step 5: Solve for x
    x = 6,068,260.06/3,208.87
  6. Step 6: Final answer
    x = 1,891.09

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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.