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Finding the Fourth Proportional to 3,008.08, 4,511.67 and 816.94

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Solution

The fourth proportional to 3,008.08, 4,511.67 and 816.94 is: 1,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.08 : 4,511.67 = 816.94 : x
  2. Step 2: Convert to fraction form
    3,008.08/4,511.67 = 816.94/x
  3. Step 3: Cross multiply
    3,008.08x = 4,511.67 × 816.94
  4. Step 4: Simplify right side
    3,008.08x = 3,685,763.69
  5. Step 5: Solve for x
    x = 3,685,763.69/3,008.08
  6. Step 6: Final answer
    x = 1,225.29

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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.