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Finding the Fourth Proportional to 2,008.24, 3,012.27 and 547.39

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Solution

The fourth proportional to 2,008.24, 3,012.27 and 547.39 is: 821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.24 : 3,012.27 = 547.39 : x
  2. Step 2: Convert to fraction form
    2,008.24/3,012.27 = 547.39/x
  3. Step 3: Cross multiply
    2,008.24x = 3,012.27 × 547.39
  4. Step 4: Simplify right side
    2,008.24x = 1,648,891.91
  5. Step 5: Solve for x
    x = 1,648,891.91/2,008.24
  6. Step 6: Final answer
    x = 821.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.