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Finding the Fourth Proportional to 2,546.64, 3,835.23 and 2,241.83

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Solution

The fourth proportional to 2,546.64, 3,835.23 and 2,241.83 is: 3,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.64 : 3,835.23 = 2,241.83 : x
  2. Step 2: Convert to fraction form
    2,546.64/3,835.23 = 2,241.83/x
  3. Step 3: Cross multiply
    2,546.64x = 3,835.23 × 2,241.83
  4. Step 4: Simplify right side
    2,546.64x = 8,597,914.49
  5. Step 5: Solve for x
    x = 8,597,914.49/2,546.64
  6. Step 6: Final answer
    x = 3,376.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.