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Finding the Fourth Proportional to 2,793.61, 4,190.05 and 944.65

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Solution

The fourth proportional to 2,793.61, 4,190.05 and 944.65 is: 1,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.61 : 4,190.05 = 944.65 : x
  2. Step 2: Convert to fraction form
    2,793.61/4,190.05 = 944.65/x
  3. Step 3: Cross multiply
    2,793.61x = 4,190.05 × 944.65
  4. Step 4: Simplify right side
    2,793.61x = 3,958,105.06
  5. Step 5: Solve for x
    x = 3,958,105.06/2,793.61
  6. Step 6: Final answer
    x = 1,416.84

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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.