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Finding the Fourth Proportional to 2,874.51, 4,311.09 and 1,231.83

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Solution

The fourth proportional to 2,874.51, 4,311.09 and 1,231.83 is: 1,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.51 : 4,311.09 = 1,231.83 : x
  2. Step 2: Convert to fraction form
    2,874.51/4,311.09 = 1,231.83/x
  3. Step 3: Cross multiply
    2,874.51x = 4,311.09 × 1,231.83
  4. Step 4: Simplify right side
    2,874.51x = 5,310,529.99
  5. Step 5: Solve for x
    x = 5,310,529.99/2,874.51
  6. Step 6: Final answer
    x = 1,847.46

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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.