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Finding the Fourth Proportional to 2,874.24, 4,311.72 and 1,230.48

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Solution

The fourth proportional to 2,874.24, 4,311.72 and 1,230.48 is: 1,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.24 : 4,311.72 = 1,230.48 : x
  2. Step 2: Convert to fraction form
    2,874.24/4,311.72 = 1,230.48/x
  3. Step 3: Cross multiply
    2,874.24x = 4,311.72 × 1,230.48
  4. Step 4: Simplify right side
    2,874.24x = 5,305,485.23
  5. Step 5: Solve for x
    x = 5,305,485.23/2,874.24
  6. Step 6: Final answer
    x = 1,845.87

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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.