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Finding the Fourth Proportional to 1,609.50, 2,414.18 and 622.79

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Solution

The fourth proportional to 1,609.50, 2,414.18 and 622.79 is: 934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.50 : 2,414.18 = 622.79 : x
  2. Step 2: Convert to fraction form
    1,609.50/2,414.18 = 622.79/x
  3. Step 3: Cross multiply
    1,609.50x = 2,414.18 × 622.79
  4. Step 4: Simplify right side
    1,609.50x = 1,503,516.65
  5. Step 5: Solve for x
    x = 1,503,516.65/1,609.50
  6. Step 6: Final answer
    x = 934.15

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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.