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Finding the Fourth Proportional to 2,251.86, 3,129.14 and 2,224.32

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Solution

The fourth proportional to 2,251.86, 3,129.14 and 2,224.32 is: 3,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.86 : 3,129.14 = 2,224.32 : x
  2. Step 2: Convert to fraction form
    2,251.86/3,129.14 = 2,224.32/x
  3. Step 3: Cross multiply
    2,251.86x = 3,129.14 × 2,224.32
  4. Step 4: Simplify right side
    2,251.86x = 6,960,197.56
  5. Step 5: Solve for x
    x = 6,960,197.56/2,251.86
  6. Step 6: Final answer
    x = 3,090.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.