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Finding the Fourth Proportional to 2,793.66, 4,189.55 and 944.28

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Solution

The fourth proportional to 2,793.66, 4,189.55 and 944.28 is: 1,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.66 : 4,189.55 = 944.28 : x
  2. Step 2: Convert to fraction form
    2,793.66/4,189.55 = 944.28/x
  3. Step 3: Cross multiply
    2,793.66x = 4,189.55 × 944.28
  4. Step 4: Simplify right side
    2,793.66x = 3,956,117.99
  5. Step 5: Solve for x
    x = 3,956,117.99/2,793.66
  6. Step 6: Final answer
    x = 1,416.10

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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.