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Finding the Fourth Proportional to 2,470.98, 3,706.44 and 827.54

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Solution

The fourth proportional to 2,470.98, 3,706.44 and 827.54 is: 1,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.98 : 3,706.44 = 827.54 : x
  2. Step 2: Convert to fraction form
    2,470.98/3,706.44 = 827.54/x
  3. Step 3: Cross multiply
    2,470.98x = 3,706.44 × 827.54
  4. Step 4: Simplify right side
    2,470.98x = 3,067,227.36
  5. Step 5: Solve for x
    x = 3,067,227.36/2,470.98
  6. Step 6: Final answer
    x = 1,241.30

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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.