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Finding the Fourth Proportional to 3,188.22, 4,402.50 and 2,449.50

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Solution

The fourth proportional to 3,188.22, 4,402.50 and 2,449.50 is: 3,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.22 : 4,402.50 = 2,449.50 : x
  2. Step 2: Convert to fraction form
    3,188.22/4,402.50 = 2,449.50/x
  3. Step 3: Cross multiply
    3,188.22x = 4,402.50 × 2,449.50
  4. Step 4: Simplify right side
    3,188.22x = 10,783,923.75
  5. Step 5: Solve for x
    x = 10,783,923.75/3,188.22
  6. Step 6: Final answer
    x = 3,382.43

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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.