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Finding the Fourth Proportional to 2,908.38, 4,361.94 and 828.36

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Solution

The fourth proportional to 2,908.38, 4,361.94 and 828.36 is: 1,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.38 : 4,361.94 = 828.36 : x
  2. Step 2: Convert to fraction form
    2,908.38/4,361.94 = 828.36/x
  3. Step 3: Cross multiply
    2,908.38x = 4,361.94 × 828.36
  4. Step 4: Simplify right side
    2,908.38x = 3,613,256.62
  5. Step 5: Solve for x
    x = 3,613,256.62/2,908.38
  6. Step 6: Final answer
    x = 1,242.36

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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.