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Finding the Fourth Proportional to 2,688.09, 3,708.17 and 1,691.49

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Solution

The fourth proportional to 2,688.09, 3,708.17 and 1,691.49 is: 2,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.09 : 3,708.17 = 1,691.49 : x
  2. Step 2: Convert to fraction form
    2,688.09/3,708.17 = 1,691.49/x
  3. Step 3: Cross multiply
    2,688.09x = 3,708.17 × 1,691.49
  4. Step 4: Simplify right side
    2,688.09x = 6,272,324.02
  5. Step 5: Solve for x
    x = 6,272,324.02/2,688.09
  6. Step 6: Final answer
    x = 2,333.38

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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.