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Finding the Fourth Proportional to 2,474.85, 3,711.81 and 1,241.93

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Solution

The fourth proportional to 2,474.85, 3,711.81 and 1,241.93 is: 1,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.85 : 3,711.81 = 1,241.93 : x
  2. Step 2: Convert to fraction form
    2,474.85/3,711.81 = 1,241.93/x
  3. Step 3: Cross multiply
    2,474.85x = 3,711.81 × 1,241.93
  4. Step 4: Simplify right side
    2,474.85x = 4,609,789.63
  5. Step 5: Solve for x
    x = 4,609,789.63/2,474.85
  6. Step 6: Final answer
    x = 1,862.65

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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.