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Finding the Fourth Proportional to 3,208.82, 4,428.16 and 1,811.57

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Solution

The fourth proportional to 3,208.82, 4,428.16 and 1,811.57 is: 2,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.82 : 4,428.16 = 1,811.57 : x
  2. Step 2: Convert to fraction form
    3,208.82/4,428.16 = 1,811.57/x
  3. Step 3: Cross multiply
    3,208.82x = 4,428.16 × 1,811.57
  4. Step 4: Simplify right side
    3,208.82x = 8,021,899.67
  5. Step 5: Solve for x
    x = 8,021,899.67/3,208.82
  6. Step 6: Final answer
    x = 2,499.96

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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.