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Finding the Fourth Proportional to 2,204.39, 3,309.02 and 1,280.99

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Solution

The fourth proportional to 2,204.39, 3,309.02 and 1,280.99 is: 1,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.39 : 3,309.02 = 1,280.99 : x
  2. Step 2: Convert to fraction form
    2,204.39/3,309.02 = 1,280.99/x
  3. Step 3: Cross multiply
    2,204.39x = 3,309.02 × 1,280.99
  4. Step 4: Simplify right side
    2,204.39x = 4,238,815.12
  5. Step 5: Solve for x
    x = 4,238,815.12/2,204.39
  6. Step 6: Final answer
    x = 1,922.90

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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.