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Finding the Fourth Proportional to 2,898, 3,997.77 and 1,833.97

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Solution

The fourth proportional to 2,898, 3,997.77 and 1,833.97 is: 2,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898 : 3,997.77 = 1,833.97 : x
  2. Step 2: Convert to fraction form
    2,898/3,997.77 = 1,833.97/x
  3. Step 3: Cross multiply
    2,898x = 3,997.77 × 1,833.97
  4. Step 4: Simplify right side
    2,898x = 7,331,790.25
  5. Step 5: Solve for x
    x = 7,331,790.25/2,898
  6. Step 6: Final answer
    x = 2,529.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.