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Finding the Fourth Proportional to 2,793.79, 4,187.77 and 944.27

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Solution

The fourth proportional to 2,793.79, 4,187.77 and 944.27 is: 1,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.79 : 4,187.77 = 944.27 : x
  2. Step 2: Convert to fraction form
    2,793.79/4,187.77 = 944.27/x
  3. Step 3: Cross multiply
    2,793.79x = 4,187.77 × 944.27
  4. Step 4: Simplify right side
    2,793.79x = 3,954,385.58
  5. Step 5: Solve for x
    x = 3,954,385.58/2,793.79
  6. Step 6: Final answer
    x = 1,415.42

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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.