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Finding the Fourth Proportional to 2,105.99, 2,905.43 and 1,221.27

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Solution

The fourth proportional to 2,105.99, 2,905.43 and 1,221.27 is: 1,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.99 : 2,905.43 = 1,221.27 : x
  2. Step 2: Convert to fraction form
    2,105.99/2,905.43 = 1,221.27/x
  3. Step 3: Cross multiply
    2,105.99x = 2,905.43 × 1,221.27
  4. Step 4: Simplify right side
    2,105.99x = 3,548,314.50
  5. Step 5: Solve for x
    x = 3,548,314.50/2,105.99
  6. Step 6: Final answer
    x = 1,684.87

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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.