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Finding the Fourth Proportional to 1,209.84, 1,811.67 and 819.21

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Solution

The fourth proportional to 1,209.84, 1,811.67 and 819.21 is: 1,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.84 : 1,811.67 = 819.21 : x
  2. Step 2: Convert to fraction form
    1,209.84/1,811.67 = 819.21/x
  3. Step 3: Cross multiply
    1,209.84x = 1,811.67 × 819.21
  4. Step 4: Simplify right side
    1,209.84x = 1,484,141.90
  5. Step 5: Solve for x
    x = 1,484,141.90/1,209.84
  6. Step 6: Final answer
    x = 1,226.73

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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.