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Finding the Fourth Proportional to 3,144.50, 4,715.57 and 922.87

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Solution

The fourth proportional to 3,144.50, 4,715.57 and 922.87 is: 1,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.50 : 4,715.57 = 922.87 : x
  2. Step 2: Convert to fraction form
    3,144.50/4,715.57 = 922.87/x
  3. Step 3: Cross multiply
    3,144.50x = 4,715.57 × 922.87
  4. Step 4: Simplify right side
    3,144.50x = 4,351,861.10
  5. Step 5: Solve for x
    x = 4,351,861.10/3,144.50
  6. Step 6: Final answer
    x = 1,383.96

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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.