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Finding the Fourth Proportional to 3,008.02, 4,511.46 and 816.20

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Solution

The fourth proportional to 3,008.02, 4,511.46 and 816.20 is: 1,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.02 : 4,511.46 = 816.20 : x
  2. Step 2: Convert to fraction form
    3,008.02/4,511.46 = 816.20/x
  3. Step 3: Cross multiply
    3,008.02x = 4,511.46 × 816.20
  4. Step 4: Simplify right side
    3,008.02x = 3,682,253.65
  5. Step 5: Solve for x
    x = 3,682,253.65/3,008.02
  6. Step 6: Final answer
    x = 1,224.15

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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.