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Finding the Fourth Proportional to 3,231.24, 4,846.74 and 922.74

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Solution

The fourth proportional to 3,231.24, 4,846.74 and 922.74 is: 1,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.24 : 4,846.74 = 922.74 : x
  2. Step 2: Convert to fraction form
    3,231.24/4,846.74 = 922.74/x
  3. Step 3: Cross multiply
    3,231.24x = 4,846.74 × 922.74
  4. Step 4: Simplify right side
    3,231.24x = 4,472,286.49
  5. Step 5: Solve for x
    x = 4,472,286.49/3,231.24
  6. Step 6: Final answer
    x = 1,384.08

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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.