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Finding the Fourth Proportional to 2,863.92, 4,297.44 and 1,133.76

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Solution

The fourth proportional to 2,863.92, 4,297.44 and 1,133.76 is: 1,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.92 : 4,297.44 = 1,133.76 : x
  2. Step 2: Convert to fraction form
    2,863.92/4,297.44 = 1,133.76/x
  3. Step 3: Cross multiply
    2,863.92x = 4,297.44 × 1,133.76
  4. Step 4: Simplify right side
    2,863.92x = 4,872,265.57
  5. Step 5: Solve for x
    x = 4,872,265.57/2,863.92
  6. Step 6: Final answer
    x = 1,701.26

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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.