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Finding the Fourth Proportional to 2,696.49, 4,044.33 and 748.44

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Solution

The fourth proportional to 2,696.49, 4,044.33 and 748.44 is: 1,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.49 : 4,044.33 = 748.44 : x
  2. Step 2: Convert to fraction form
    2,696.49/4,044.33 = 748.44/x
  3. Step 3: Cross multiply
    2,696.49x = 4,044.33 × 748.44
  4. Step 4: Simplify right side
    2,696.49x = 3,026,938.35
  5. Step 5: Solve for x
    x = 3,026,938.35/2,696.49
  6. Step 6: Final answer
    x = 1,122.55

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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.