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Finding the Fourth Proportional to 2,470.62, 3,706.13 and 827.18

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Solution

The fourth proportional to 2,470.62, 3,706.13 and 827.18 is: 1,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.62 : 3,706.13 = 827.18 : x
  2. Step 2: Convert to fraction form
    2,470.62/3,706.13 = 827.18/x
  3. Step 3: Cross multiply
    2,470.62x = 3,706.13 × 827.18
  4. Step 4: Simplify right side
    2,470.62x = 3,065,613.95
  5. Step 5: Solve for x
    x = 3,065,613.95/2,470.62
  6. Step 6: Final answer
    x = 1,240.83

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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.