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Finding the Fourth Proportional to 2,105.81, 2,905.20 and 1,221.44

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Solution

The fourth proportional to 2,105.81, 2,905.20 and 1,221.44 is: 1,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.81 : 2,905.20 = 1,221.44 : x
  2. Step 2: Convert to fraction form
    2,105.81/2,905.20 = 1,221.44/x
  3. Step 3: Cross multiply
    2,105.81x = 2,905.20 × 1,221.44
  4. Step 4: Simplify right side
    2,105.81x = 3,548,512.96
  5. Step 5: Solve for x
    x = 3,548,512.96/2,105.81
  6. Step 6: Final answer
    x = 1,685.11

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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.