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Finding the Fourth Proportional to 3,279.70, 4,915.32 and 1,632.70

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Solution

The fourth proportional to 3,279.70, 4,915.32 and 1,632.70 is: 2,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.70 : 4,915.32 = 1,632.70 : x
  2. Step 2: Convert to fraction form
    3,279.70/4,915.32 = 1,632.70/x
  3. Step 3: Cross multiply
    3,279.70x = 4,915.32 × 1,632.70
  4. Step 4: Simplify right side
    3,279.70x = 8,025,242.96
  5. Step 5: Solve for x
    x = 8,025,242.96/3,279.70
  6. Step 6: Final answer
    x = 2,446.94

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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.