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Finding the Fourth Proportional to 2,449.26, 3,674.25 and 717.66

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Solution

The fourth proportional to 2,449.26, 3,674.25 and 717.66 is: 1,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.26 : 3,674.25 = 717.66 : x
  2. Step 2: Convert to fraction form
    2,449.26/3,674.25 = 717.66/x
  3. Step 3: Cross multiply
    2,449.26x = 3,674.25 × 717.66
  4. Step 4: Simplify right side
    2,449.26x = 2,636,862.26
  5. Step 5: Solve for x
    x = 2,636,862.26/2,449.26
  6. Step 6: Final answer
    x = 1,076.60

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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.