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Finding the Fourth Proportional to 2,747.84, 3,791.68 and 1,628.80

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Solution

The fourth proportional to 2,747.84, 3,791.68 and 1,628.80 is: 2,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.84 : 3,791.68 = 1,628.80 : x
  2. Step 2: Convert to fraction form
    2,747.84/3,791.68 = 1,628.80/x
  3. Step 3: Cross multiply
    2,747.84x = 3,791.68 × 1,628.80
  4. Step 4: Simplify right side
    2,747.84x = 6,175,888.38
  5. Step 5: Solve for x
    x = 6,175,888.38/2,747.84
  6. Step 6: Final answer
    x = 2,247.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.