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Finding the Fourth Proportional to 1,435.82, 2,151.97 and 819.81

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Solution

The fourth proportional to 1,435.82, 2,151.97 and 819.81 is: 1,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.82 : 2,151.97 = 819.81 : x
  2. Step 2: Convert to fraction form
    1,435.82/2,151.97 = 819.81/x
  3. Step 3: Cross multiply
    1,435.82x = 2,151.97 × 819.81
  4. Step 4: Simplify right side
    1,435.82x = 1,764,204.48
  5. Step 5: Solve for x
    x = 1,764,204.48/1,435.82
  6. Step 6: Final answer
    x = 1,228.71

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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.