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Finding the Fourth Proportional to 2,982.44, 4,473.42 and 1,008.23

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Solution

The fourth proportional to 2,982.44, 4,473.42 and 1,008.23 is: 1,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.44 : 4,473.42 = 1,008.23 : x
  2. Step 2: Convert to fraction form
    2,982.44/4,473.42 = 1,008.23/x
  3. Step 3: Cross multiply
    2,982.44x = 4,473.42 × 1,008.23
  4. Step 4: Simplify right side
    2,982.44x = 4,510,213.88
  5. Step 5: Solve for x
    x = 4,510,213.88/2,982.44
  6. Step 6: Final answer
    x = 1,512.26

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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.