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Finding the Fourth Proportional to 2,008.57, 3,012.39 and 547.43

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Solution

The fourth proportional to 2,008.57, 3,012.39 and 547.43 is: 821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.57 : 3,012.39 = 547.43 : x
  2. Step 2: Convert to fraction form
    2,008.57/3,012.39 = 547.43/x
  3. Step 3: Cross multiply
    2,008.57x = 3,012.39 × 547.43
  4. Step 4: Simplify right side
    2,008.57x = 1,649,072.66
  5. Step 5: Solve for x
    x = 1,649,072.66/2,008.57
  6. Step 6: Final answer
    x = 821.02

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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.