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Finding the Fourth Proportional to 2,351.53, 3,249.34 and 1,687.22

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Solution

The fourth proportional to 2,351.53, 3,249.34 and 1,687.22 is: 2,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.53 : 3,249.34 = 1,687.22 : x
  2. Step 2: Convert to fraction form
    2,351.53/3,249.34 = 1,687.22/x
  3. Step 3: Cross multiply
    2,351.53x = 3,249.34 × 1,687.22
  4. Step 4: Simplify right side
    2,351.53x = 5,482,330.97
  5. Step 5: Solve for x
    x = 5,482,330.97/2,351.53
  6. Step 6: Final answer
    x = 2,331.39

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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.