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Finding the Fourth Proportional to 2,250.43, 3,376.18 and 863.74

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Solution

The fourth proportional to 2,250.43, 3,376.18 and 863.74 is: 1,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.43 : 3,376.18 = 863.74 : x
  2. Step 2: Convert to fraction form
    2,250.43/3,376.18 = 863.74/x
  3. Step 3: Cross multiply
    2,250.43x = 3,376.18 × 863.74
  4. Step 4: Simplify right side
    2,250.43x = 2,916,135.43
  5. Step 5: Solve for x
    x = 2,916,135.43/2,250.43
  6. Step 6: Final answer
    x = 1,295.81

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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.