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Finding the Fourth Proportional to 2,326.87, 3,211.47 and 2,249.96

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Solution

The fourth proportional to 2,326.87, 3,211.47 and 2,249.96 is: 3,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.87 : 3,211.47 = 2,249.96 : x
  2. Step 2: Convert to fraction form
    2,326.87/3,211.47 = 2,249.96/x
  3. Step 3: Cross multiply
    2,326.87x = 3,211.47 × 2,249.96
  4. Step 4: Simplify right side
    2,326.87x = 7,225,662.98
  5. Step 5: Solve for x
    x = 7,225,662.98/2,326.87
  6. Step 6: Final answer
    x = 3,105.32

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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.