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Finding the Fourth Proportional to 2,997.54, 4,496.10 and 806.22

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Solution

The fourth proportional to 2,997.54, 4,496.10 and 806.22 is: 1,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.54 : 4,496.10 = 806.22 : x
  2. Step 2: Convert to fraction form
    2,997.54/4,496.10 = 806.22/x
  3. Step 3: Cross multiply
    2,997.54x = 4,496.10 × 806.22
  4. Step 4: Simplify right side
    2,997.54x = 3,624,845.74
  5. Step 5: Solve for x
    x = 3,624,845.74/2,997.54
  6. Step 6: Final answer
    x = 1,209.27

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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.