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Finding the Fourth Proportional to 2,816.74, 4,224.09 and 967.39

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Solution

The fourth proportional to 2,816.74, 4,224.09 and 967.39 is: 1,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.74 : 4,224.09 = 967.39 : x
  2. Step 2: Convert to fraction form
    2,816.74/4,224.09 = 967.39/x
  3. Step 3: Cross multiply
    2,816.74x = 4,224.09 × 967.39
  4. Step 4: Simplify right side
    2,816.74x = 4,086,342.43
  5. Step 5: Solve for x
    x = 4,086,342.43/2,816.74
  6. Step 6: Final answer
    x = 1,450.73

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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.