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Finding the Fourth Proportional to 2,166.26, 3,249.73 and 997.41

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Solution

The fourth proportional to 2,166.26, 3,249.73 and 997.41 is: 1,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.26 : 3,249.73 = 997.41 : x
  2. Step 2: Convert to fraction form
    2,166.26/3,249.73 = 997.41/x
  3. Step 3: Cross multiply
    2,166.26x = 3,249.73 × 997.41
  4. Step 4: Simplify right side
    2,166.26x = 3,241,302.74
  5. Step 5: Solve for x
    x = 3,241,302.74/2,166.26
  6. Step 6: Final answer
    x = 1,496.27

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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.