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Finding the Fourth Proportional to 2,682.89, 4,024.34 and 833.97

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Solution

The fourth proportional to 2,682.89, 4,024.34 and 833.97 is: 1,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.89 : 4,024.34 = 833.97 : x
  2. Step 2: Convert to fraction form
    2,682.89/4,024.34 = 833.97/x
  3. Step 3: Cross multiply
    2,682.89x = 4,024.34 × 833.97
  4. Step 4: Simplify right side
    2,682.89x = 3,356,174.66
  5. Step 5: Solve for x
    x = 3,356,174.66/2,682.89
  6. Step 6: Final answer
    x = 1,250.96

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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.