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Finding the Fourth Proportional to 2,908.01, 4,361.61 and 828.20

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Solution

The fourth proportional to 2,908.01, 4,361.61 and 828.20 is: 1,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.01 : 4,361.61 = 828.20 : x
  2. Step 2: Convert to fraction form
    2,908.01/4,361.61 = 828.20/x
  3. Step 3: Cross multiply
    2,908.01x = 4,361.61 × 828.20
  4. Step 4: Simplify right side
    2,908.01x = 3,612,285.40
  5. Step 5: Solve for x
    x = 3,612,285.40/2,908.01
  6. Step 6: Final answer
    x = 1,242.18

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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.