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Finding the Fourth Proportional to 2,793.13, 4,190.29 and 944.15

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Solution

The fourth proportional to 2,793.13, 4,190.29 and 944.15 is: 1,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.13 : 4,190.29 = 944.15 : x
  2. Step 2: Convert to fraction form
    2,793.13/4,190.29 = 944.15/x
  3. Step 3: Cross multiply
    2,793.13x = 4,190.29 × 944.15
  4. Step 4: Simplify right side
    2,793.13x = 3,956,262.30
  5. Step 5: Solve for x
    x = 3,956,262.30/2,793.13
  6. Step 6: Final answer
    x = 1,416.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.