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Finding the Fourth Proportional to 2,659.91, 3,668.22 and 1,821.83

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Solution

The fourth proportional to 2,659.91, 3,668.22 and 1,821.83 is: 2,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.91 : 3,668.22 = 1,821.83 : x
  2. Step 2: Convert to fraction form
    2,659.91/3,668.22 = 1,821.83/x
  3. Step 3: Cross multiply
    2,659.91x = 3,668.22 × 1,821.83
  4. Step 4: Simplify right side
    2,659.91x = 6,682,854.90
  5. Step 5: Solve for x
    x = 6,682,854.90/2,659.91
  6. Step 6: Final answer
    x = 2,512.44

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