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Finding the Fourth Proportional to 2,696.64, 3,721.24 and 1,517.68

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Solution

The fourth proportional to 2,696.64, 3,721.24 and 1,517.68 is: 2,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.64 : 3,721.24 = 1,517.68 : x
  2. Step 2: Convert to fraction form
    2,696.64/3,721.24 = 1,517.68/x
  3. Step 3: Cross multiply
    2,696.64x = 3,721.24 × 1,517.68
  4. Step 4: Simplify right side
    2,696.64x = 5,647,651.52
  5. Step 5: Solve for x
    x = 5,647,651.52/2,696.64
  6. Step 6: Final answer
    x = 2,094.33

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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.