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Finding the Fourth Proportional to 2,682.69, 4,024.61 and 833.76

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Solution

The fourth proportional to 2,682.69, 4,024.61 and 833.76 is: 1,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.69 : 4,024.61 = 833.76 : x
  2. Step 2: Convert to fraction form
    2,682.69/4,024.61 = 833.76/x
  3. Step 3: Cross multiply
    2,682.69x = 4,024.61 × 833.76
  4. Step 4: Simplify right side
    2,682.69x = 3,355,554.66
  5. Step 5: Solve for x
    x = 3,355,554.66/2,682.69
  6. Step 6: Final answer
    x = 1,250.82

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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.