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Finding the Fourth Proportional to 2,856.46, 3,940.26 and 1,793.80

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Solution

The fourth proportional to 2,856.46, 3,940.26 and 1,793.80 is: 2,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.46 : 3,940.26 = 1,793.80 : x
  2. Step 2: Convert to fraction form
    2,856.46/3,940.26 = 1,793.80/x
  3. Step 3: Cross multiply
    2,856.46x = 3,940.26 × 1,793.80
  4. Step 4: Simplify right side
    2,856.46x = 7,068,038.39
  5. Step 5: Solve for x
    x = 7,068,038.39/2,856.46
  6. Step 6: Final answer
    x = 2,474.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.