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Finding the Fourth Proportional to 2,205.34, 3,309.32 and 818.80

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Solution

The fourth proportional to 2,205.34, 3,309.32 and 818.80 is: 1,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.34 : 3,309.32 = 818.80 : x
  2. Step 2: Convert to fraction form
    2,205.34/3,309.32 = 818.80/x
  3. Step 3: Cross multiply
    2,205.34x = 3,309.32 × 818.80
  4. Step 4: Simplify right side
    2,205.34x = 2,709,664.99
  5. Step 5: Solve for x
    x = 2,709,664.99/2,205.34
  6. Step 6: Final answer
    x = 1,228.68

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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.