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Finding the Fourth Proportional to 2,474.35, 3,711.06 and 1,241.43

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Solution

The fourth proportional to 2,474.35, 3,711.06 and 1,241.43 is: 1,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.35 : 3,711.06 = 1,241.43 : x
  2. Step 2: Convert to fraction form
    2,474.35/3,711.06 = 1,241.43/x
  3. Step 3: Cross multiply
    2,474.35x = 3,711.06 × 1,241.43
  4. Step 4: Simplify right side
    2,474.35x = 4,607,021.22
  5. Step 5: Solve for x
    x = 4,607,021.22/2,474.35
  6. Step 6: Final answer
    x = 1,861.91

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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.