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Finding the Fourth Proportional to 2,874.54, 4,311.84 and 1,314.48

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Solution

The fourth proportional to 2,874.54, 4,311.84 and 1,314.48 is: 1,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.54 : 4,311.84 = 1,314.48 : x
  2. Step 2: Convert to fraction form
    2,874.54/4,311.84 = 1,314.48/x
  3. Step 3: Cross multiply
    2,874.54x = 4,311.84 × 1,314.48
  4. Step 4: Simplify right side
    2,874.54x = 5,667,827.44
  5. Step 5: Solve for x
    x = 5,667,827.44/2,874.54
  6. Step 6: Final answer
    x = 1,971.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.