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Finding the Fourth Proportional to 3,231.49, 4,846.06 and 1,382.74

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Solution

The fourth proportional to 3,231.49, 4,846.06 and 1,382.74 is: 2,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.49 : 4,846.06 = 1,382.74 : x
  2. Step 2: Convert to fraction form
    3,231.49/4,846.06 = 1,382.74/x
  3. Step 3: Cross multiply
    3,231.49x = 4,846.06 × 1,382.74
  4. Step 4: Simplify right side
    3,231.49x = 6,700,841.00
  5. Step 5: Solve for x
    x = 6,700,841.00/3,231.49
  6. Step 6: Final answer
    x = 2,073.61

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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.