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Finding the Fourth Proportional to 2,816.73, 4,224.16 and 967.80

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Solution

The fourth proportional to 2,816.73, 4,224.16 and 967.80 is: 1,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.73 : 4,224.16 = 967.80 : x
  2. Step 2: Convert to fraction form
    2,816.73/4,224.16 = 967.80/x
  3. Step 3: Cross multiply
    2,816.73x = 4,224.16 × 967.80
  4. Step 4: Simplify right side
    2,816.73x = 4,088,142.05
  5. Step 5: Solve for x
    x = 4,088,142.05/2,816.73
  6. Step 6: Final answer
    x = 1,451.38

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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.