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Finding the Fourth Proportional to 3,231, 4,846.50 and 922.50

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Solution

The fourth proportional to 3,231, 4,846.50 and 922.50 is: 1,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231 : 4,846.50 = 922.50 : x
  2. Step 2: Convert to fraction form
    3,231/4,846.50 = 922.50/x
  3. Step 3: Cross multiply
    3,231x = 4,846.50 × 922.50
  4. Step 4: Simplify right side
    3,231x = 4,470,896.25
  5. Step 5: Solve for x
    x = 4,470,896.25/3,231
  6. Step 6: Final answer
    x = 1,383.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.