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Finding the Fourth Proportional to 2,650.38, 3,658.83 and 2,021.01

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Solution

The fourth proportional to 2,650.38, 3,658.83 and 2,021.01 is: 2,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.38 : 3,658.83 = 2,021.01 : x
  2. Step 2: Convert to fraction form
    2,650.38/3,658.83 = 2,021.01/x
  3. Step 3: Cross multiply
    2,650.38x = 3,658.83 × 2,021.01
  4. Step 4: Simplify right side
    2,650.38x = 7,394,532.02
  5. Step 5: Solve for x
    x = 7,394,532.02/2,650.38
  6. Step 6: Final answer
    x = 2,789.99

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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.