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Finding the Fourth Proportional to 2,577.46, 3,863.94 and 1,601.42

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Solution

The fourth proportional to 2,577.46, 3,863.94 and 1,601.42 is: 2,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.46 : 3,863.94 = 1,601.42 : x
  2. Step 2: Convert to fraction form
    2,577.46/3,863.94 = 1,601.42/x
  3. Step 3: Cross multiply
    2,577.46x = 3,863.94 × 1,601.42
  4. Step 4: Simplify right side
    2,577.46x = 6,187,790.79
  5. Step 5: Solve for x
    x = 6,187,790.79/2,577.46
  6. Step 6: Final answer
    x = 2,400.73

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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.