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Finding the Fourth Proportional to 2,205.99, 3,309.07 and 1,109.76

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Solution

The fourth proportional to 2,205.99, 3,309.07 and 1,109.76 is: 1,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.99 : 3,309.07 = 1,109.76 : x
  2. Step 2: Convert to fraction form
    2,205.99/3,309.07 = 1,109.76/x
  3. Step 3: Cross multiply
    2,205.99x = 3,309.07 × 1,109.76
  4. Step 4: Simplify right side
    2,205.99x = 3,672,270.75
  5. Step 5: Solve for x
    x = 3,672,270.75/2,205.99
  6. Step 6: Final answer
    x = 1,664.68

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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.