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Finding the Fourth Proportional to 3,231.27, 4,846.30 and 890.69

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Solution

The fourth proportional to 3,231.27, 4,846.30 and 890.69 is: 1,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.27 : 4,846.30 = 890.69 : x
  2. Step 2: Convert to fraction form
    3,231.27/4,846.30 = 890.69/x
  3. Step 3: Cross multiply
    3,231.27x = 4,846.30 × 890.69
  4. Step 4: Simplify right side
    3,231.27x = 4,316,550.95
  5. Step 5: Solve for x
    x = 4,316,550.95/3,231.27
  6. Step 6: Final answer
    x = 1,335.87

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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.