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Finding the Fourth Proportional to 2,449, 3,673.64 and 717.76

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Solution

The fourth proportional to 2,449, 3,673.64 and 717.76 is: 1,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449 : 3,673.64 = 717.76 : x
  2. Step 2: Convert to fraction form
    2,449/3,673.64 = 717.76/x
  3. Step 3: Cross multiply
    2,449x = 3,673.64 × 717.76
  4. Step 4: Simplify right side
    2,449x = 2,636,791.85
  5. Step 5: Solve for x
    x = 2,636,791.85/2,449
  6. Step 6: Final answer
    x = 1,076.68

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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.