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Finding the Fourth Proportional to 3,234.27, 4,462.06 and 1,907.49

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Solution

The fourth proportional to 3,234.27, 4,462.06 and 1,907.49 is: 2,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.27 : 4,462.06 = 1,907.49 : x
  2. Step 2: Convert to fraction form
    3,234.27/4,462.06 = 1,907.49/x
  3. Step 3: Cross multiply
    3,234.27x = 4,462.06 × 1,907.49
  4. Step 4: Simplify right side
    3,234.27x = 8,511,334.83
  5. Step 5: Solve for x
    x = 8,511,334.83/3,234.27
  6. Step 6: Final answer
    x = 2,631.61

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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.