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Finding the Fourth Proportional to 2,682.72, 4,023.78 and 833.48

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Solution

The fourth proportional to 2,682.72, 4,023.78 and 833.48 is: 1,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.72 : 4,023.78 = 833.48 : x
  2. Step 2: Convert to fraction form
    2,682.72/4,023.78 = 833.48/x
  3. Step 3: Cross multiply
    2,682.72x = 4,023.78 × 833.48
  4. Step 4: Simplify right side
    2,682.72x = 3,353,740.15
  5. Step 5: Solve for x
    x = 3,353,740.15/2,682.72
  6. Step 6: Final answer
    x = 1,250.13

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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.