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Finding the Fourth Proportional to 1,696, 2,542.24 and 722.72

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Solution

The fourth proportional to 1,696, 2,542.24 and 722.72 is: 1,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696 : 2,542.24 = 722.72 : x
  2. Step 2: Convert to fraction form
    1,696/2,542.24 = 722.72/x
  3. Step 3: Cross multiply
    1,696x = 2,542.24 × 722.72
  4. Step 4: Simplify right side
    1,696x = 1,837,327.69
  5. Step 5: Solve for x
    x = 1,837,327.69/1,696
  6. Step 6: Final answer
    x = 1,083.33

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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.