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Finding the Fourth Proportional to 2,696.57, 4,044.23 and 748.92

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Solution

The fourth proportional to 2,696.57, 4,044.23 and 748.92 is: 1,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.57 : 4,044.23 = 748.92 : x
  2. Step 2: Convert to fraction form
    2,696.57/4,044.23 = 748.92/x
  3. Step 3: Cross multiply
    2,696.57x = 4,044.23 × 748.92
  4. Step 4: Simplify right side
    2,696.57x = 3,028,800.99
  5. Step 5: Solve for x
    x = 3,028,800.99/2,696.57
  6. Step 6: Final answer
    x = 1,123.21

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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.