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Finding the Fourth Proportional to 2,008.23, 3,012.45 and 547.20

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Solution

The fourth proportional to 2,008.23, 3,012.45 and 547.20 is: 820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.23 : 3,012.45 = 547.20 : x
  2. Step 2: Convert to fraction form
    2,008.23/3,012.45 = 547.20/x
  3. Step 3: Cross multiply
    2,008.23x = 3,012.45 × 547.20
  4. Step 4: Simplify right side
    2,008.23x = 1,648,412.64
  5. Step 5: Solve for x
    x = 1,648,412.64/2,008.23
  6. Step 6: Final answer
    x = 820.83

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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.