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Finding the Fourth Proportional to 2,808.69, 4,213.17 and 861.05

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Solution

The fourth proportional to 2,808.69, 4,213.17 and 861.05 is: 1,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.69 : 4,213.17 = 861.05 : x
  2. Step 2: Convert to fraction form
    2,808.69/4,213.17 = 861.05/x
  3. Step 3: Cross multiply
    2,808.69x = 4,213.17 × 861.05
  4. Step 4: Simplify right side
    2,808.69x = 3,627,728.96
  5. Step 5: Solve for x
    x = 3,627,728.96/2,808.69
  6. Step 6: Final answer
    x = 1,291.61

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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.