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Finding the Fourth Proportional to 2,205.62, 3,308.50 and 1,109.38

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Solution

The fourth proportional to 2,205.62, 3,308.50 and 1,109.38 is: 1,664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.62 : 3,308.50 = 1,109.38 : x
  2. Step 2: Convert to fraction form
    2,205.62/3,308.50 = 1,109.38/x
  3. Step 3: Cross multiply
    2,205.62x = 3,308.50 × 1,109.38
  4. Step 4: Simplify right side
    2,205.62x = 3,670,383.73
  5. Step 5: Solve for x
    x = 3,670,383.73/2,205.62
  6. Step 6: Final answer
    x = 1,664.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.