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Finding the Fourth Proportional to 2,286.84, 3,428.82 and 825.72

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Solution

The fourth proportional to 2,286.84, 3,428.82 and 825.72 is: 1,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.84 : 3,428.82 = 825.72 : x
  2. Step 2: Convert to fraction form
    2,286.84/3,428.82 = 825.72/x
  3. Step 3: Cross multiply
    2,286.84x = 3,428.82 × 825.72
  4. Step 4: Simplify right side
    2,286.84x = 2,831,245.25
  5. Step 5: Solve for x
    x = 2,831,245.25/2,286.84
  6. Step 6: Final answer
    x = 1,238.06

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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.