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Finding the Fourth Proportional to 2,861.23, 4,291.37 and 808.75

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Solution

The fourth proportional to 2,861.23, 4,291.37 and 808.75 is: 1,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.23 : 4,291.37 = 808.75 : x
  2. Step 2: Convert to fraction form
    2,861.23/4,291.37 = 808.75/x
  3. Step 3: Cross multiply
    2,861.23x = 4,291.37 × 808.75
  4. Step 4: Simplify right side
    2,861.23x = 3,470,641.44
  5. Step 5: Solve for x
    x = 3,470,641.44/2,861.23
  6. Step 6: Final answer
    x = 1,212.99

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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.