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Finding the Fourth Proportional to 3,213.75, 4,821.44 and 905.25

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Solution

The fourth proportional to 3,213.75, 4,821.44 and 905.25 is: 1,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.75 : 4,821.44 = 905.25 : x
  2. Step 2: Convert to fraction form
    3,213.75/4,821.44 = 905.25/x
  3. Step 3: Cross multiply
    3,213.75x = 4,821.44 × 905.25
  4. Step 4: Simplify right side
    3,213.75x = 4,364,608.56
  5. Step 5: Solve for x
    x = 4,364,608.56/3,213.75
  6. Step 6: Final answer
    x = 1,358.10

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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.