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Finding the Fourth Proportional to 2,105.44, 3,157.08 and 1,228.22

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Solution

The fourth proportional to 2,105.44, 3,157.08 and 1,228.22 is: 1,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.44 : 3,157.08 = 1,228.22 : x
  2. Step 2: Convert to fraction form
    2,105.44/3,157.08 = 1,228.22/x
  3. Step 3: Cross multiply
    2,105.44x = 3,157.08 × 1,228.22
  4. Step 4: Simplify right side
    2,105.44x = 3,877,588.80
  5. Step 5: Solve for x
    x = 3,877,588.80/2,105.44
  6. Step 6: Final answer
    x = 1,841.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.