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Finding the Fourth Proportional to 2,666.27, 3,682.91 and 2,163.98

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Solution

The fourth proportional to 2,666.27, 3,682.91 and 2,163.98 is: 2,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.27 : 3,682.91 = 2,163.98 : x
  2. Step 2: Convert to fraction form
    2,666.27/3,682.91 = 2,163.98/x
  3. Step 3: Cross multiply
    2,666.27x = 3,682.91 × 2,163.98
  4. Step 4: Simplify right side
    2,666.27x = 7,969,714.35
  5. Step 5: Solve for x
    x = 7,969,714.35/2,666.27
  6. Step 6: Final answer
    x = 2,989.09

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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.