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Finding the Fourth Proportional to 3,213.97, 4,821.24 and 1,364.83

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Solution

The fourth proportional to 3,213.97, 4,821.24 and 1,364.83 is: 2,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.97 : 4,821.24 = 1,364.83 : x
  2. Step 2: Convert to fraction form
    3,213.97/4,821.24 = 1,364.83/x
  3. Step 3: Cross multiply
    3,213.97x = 4,821.24 × 1,364.83
  4. Step 4: Simplify right side
    3,213.97x = 6,580,172.99
  5. Step 5: Solve for x
    x = 6,580,172.99/3,213.97
  6. Step 6: Final answer
    x = 2,047.37

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1.5x scale

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.