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Finding the Fourth Proportional to 2,449.14, 3,674.25 and 717.78

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Solution

The fourth proportional to 2,449.14, 3,674.25 and 717.78 is: 1,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.14 : 3,674.25 = 717.78 : x
  2. Step 2: Convert to fraction form
    2,449.14/3,674.25 = 717.78/x
  3. Step 3: Cross multiply
    2,449.14x = 3,674.25 × 717.78
  4. Step 4: Simplify right side
    2,449.14x = 2,637,303.17
  5. Step 5: Solve for x
    x = 2,637,303.17/2,449.14
  6. Step 6: Final answer
    x = 1,076.83

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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.