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Finding the Fourth Proportional to 2,908.05, 4,361.51 and 828.03

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Solution

The fourth proportional to 2,908.05, 4,361.51 and 828.03 is: 1,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.05 : 4,361.51 = 828.03 : x
  2. Step 2: Convert to fraction form
    2,908.05/4,361.51 = 828.03/x
  3. Step 3: Cross multiply
    2,908.05x = 4,361.51 × 828.03
  4. Step 4: Simplify right side
    2,908.05x = 3,611,479.55
  5. Step 5: Solve for x
    x = 3,611,479.55/2,908.05
  6. Step 6: Final answer
    x = 1,241.89

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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.