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Finding the Fourth Proportional to 2,008.10, 3,012.30 and 547.26

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Solution

The fourth proportional to 2,008.10, 3,012.30 and 547.26 is: 820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.10 : 3,012.30 = 547.26 : x
  2. Step 2: Convert to fraction form
    2,008.10/3,012.30 = 547.26/x
  3. Step 3: Cross multiply
    2,008.10x = 3,012.30 × 547.26
  4. Step 4: Simplify right side
    2,008.10x = 1,648,511.30
  5. Step 5: Solve for x
    x = 1,648,511.30/2,008.10
  6. Step 6: Final answer
    x = 820.93

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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.