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Finding the Fourth Proportional to 3,234.67, 4,463.17 and 2,055.31

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Solution

The fourth proportional to 3,234.67, 4,463.17 and 2,055.31 is: 2,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.67 : 4,463.17 = 2,055.31 : x
  2. Step 2: Convert to fraction form
    3,234.67/4,463.17 = 2,055.31/x
  3. Step 3: Cross multiply
    3,234.67x = 4,463.17 × 2,055.31
  4. Step 4: Simplify right side
    3,234.67x = 9,173,197.93
  5. Step 5: Solve for x
    x = 9,173,197.93/3,234.67
  6. Step 6: Final answer
    x = 2,835.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.