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Finding the Fourth Proportional to 3,208.34, 4,427.61 and 1,811.18

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Solution

The fourth proportional to 3,208.34, 4,427.61 and 1,811.18 is: 2,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.34 : 4,427.61 = 1,811.18 : x
  2. Step 2: Convert to fraction form
    3,208.34/4,427.61 = 1,811.18/x
  3. Step 3: Cross multiply
    3,208.34x = 4,427.61 × 1,811.18
  4. Step 4: Simplify right side
    3,208.34x = 8,019,198.68
  5. Step 5: Solve for x
    x = 8,019,198.68/3,208.34
  6. Step 6: Final answer
    x = 2,499.49

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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.