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Finding the Fourth Proportional to 2,583.66, 3,874.19 and 1,195.80

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Solution

The fourth proportional to 2,583.66, 3,874.19 and 1,195.80 is: 1,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.66 : 3,874.19 = 1,195.80 : x
  2. Step 2: Convert to fraction form
    2,583.66/3,874.19 = 1,195.80/x
  3. Step 3: Cross multiply
    2,583.66x = 3,874.19 × 1,195.80
  4. Step 4: Simplify right side
    2,583.66x = 4,632,764.41
  5. Step 5: Solve for x
    x = 4,632,764.41/2,583.66
  6. Step 6: Final answer
    x = 1,793.10

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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.