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Finding the Fourth Proportional to 2,241.36, 3,355.74 and 1,143.36

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Solution

The fourth proportional to 2,241.36, 3,355.74 and 1,143.36 is: 1,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.36 : 3,355.74 = 1,143.36 : x
  2. Step 2: Convert to fraction form
    2,241.36/3,355.74 = 1,143.36/x
  3. Step 3: Cross multiply
    2,241.36x = 3,355.74 × 1,143.36
  4. Step 4: Simplify right side
    2,241.36x = 3,836,818.89
  5. Step 5: Solve for x
    x = 3,836,818.89/2,241.36
  6. Step 6: Final answer
    x = 1,711.83

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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.