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Finding the Fourth Proportional to 3,234.79, 4,844.89 and 2,265.22

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Solution

The fourth proportional to 3,234.79, 4,844.89 and 2,265.22 is: 3,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.79 : 4,844.89 = 2,265.22 : x
  2. Step 2: Convert to fraction form
    3,234.79/4,844.89 = 2,265.22/x
  3. Step 3: Cross multiply
    3,234.79x = 4,844.89 × 2,265.22
  4. Step 4: Simplify right side
    3,234.79x = 10,974,741.73
  5. Step 5: Solve for x
    x = 10,974,741.73/3,234.79
  6. Step 6: Final answer
    x = 3,392.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.