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Finding the Fourth Proportional to 3,223.50, 4,832.96 and 1,467.63

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Solution

The fourth proportional to 3,223.50, 4,832.96 and 1,467.63 is: 2,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.50 : 4,832.96 = 1,467.63 : x
  2. Step 2: Convert to fraction form
    3,223.50/4,832.96 = 1,467.63/x
  3. Step 3: Cross multiply
    3,223.50x = 4,832.96 × 1,467.63
  4. Step 4: Simplify right side
    3,223.50x = 7,092,989.75
  5. Step 5: Solve for x
    x = 7,092,989.75/3,223.50
  6. Step 6: Final answer
    x = 2,200.40

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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.