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Finding the Fourth Proportional to 2,008.26, 3,012.46 and 621.47

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Solution

The fourth proportional to 2,008.26, 3,012.46 and 621.47 is: 932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.26 : 3,012.46 = 621.47 : x
  2. Step 2: Convert to fraction form
    2,008.26/3,012.46 = 621.47/x
  3. Step 3: Cross multiply
    2,008.26x = 3,012.46 × 621.47
  4. Step 4: Simplify right side
    2,008.26x = 1,872,153.52
  5. Step 5: Solve for x
    x = 1,872,153.52/2,008.26
  6. Step 6: Final answer
    x = 932.23

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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.