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Finding the Fourth Proportional to 1,808.46, 2,711.71 and 622.18

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Solution

The fourth proportional to 1,808.46, 2,711.71 and 622.18 is: 932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.46 : 2,711.71 = 622.18 : x
  2. Step 2: Convert to fraction form
    1,808.46/2,711.71 = 622.18/x
  3. Step 3: Cross multiply
    1,808.46x = 2,711.71 × 622.18
  4. Step 4: Simplify right side
    1,808.46x = 1,687,171.73
  5. Step 5: Solve for x
    x = 1,687,171.73/1,808.46
  6. Step 6: Final answer
    x = 932.93

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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.