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Finding the Fourth Proportional to 2,989.43, 4,474.86 and 2,546.55

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Solution

The fourth proportional to 2,989.43, 4,474.86 and 2,546.55 is: 3,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.43 : 4,474.86 = 2,546.55 : x
  2. Step 2: Convert to fraction form
    2,989.43/4,474.86 = 2,546.55/x
  3. Step 3: Cross multiply
    2,989.43x = 4,474.86 × 2,546.55
  4. Step 4: Simplify right side
    2,989.43x = 11,395,454.73
  5. Step 5: Solve for x
    x = 11,395,454.73/2,989.43
  6. Step 6: Final answer
    x = 3,811.92

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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.