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Finding the Fourth Proportional to 1,912.64, 2,863.04 and 1,253.76

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Solution

The fourth proportional to 1,912.64, 2,863.04 and 1,253.76 is: 1,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.64 : 2,863.04 = 1,253.76 : x
  2. Step 2: Convert to fraction form
    1,912.64/2,863.04 = 1,253.76/x
  3. Step 3: Cross multiply
    1,912.64x = 2,863.04 × 1,253.76
  4. Step 4: Simplify right side
    1,912.64x = 3,589,565.03
  5. Step 5: Solve for x
    x = 3,589,565.03/1,912.64
  6. Step 6: Final answer
    x = 1,876.76

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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.