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Finding the Fourth Proportional to 2,205.99, 3,308.69 and 819.12

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Solution

The fourth proportional to 2,205.99, 3,308.69 and 819.12 is: 1,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.99 : 3,308.69 = 819.12 : x
  2. Step 2: Convert to fraction form
    2,205.99/3,308.69 = 819.12/x
  3. Step 3: Cross multiply
    2,205.99x = 3,308.69 × 819.12
  4. Step 4: Simplify right side
    2,205.99x = 2,710,193.51
  5. Step 5: Solve for x
    x = 2,710,193.51/2,205.99
  6. Step 6: Final answer
    x = 1,228.56

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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.