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Finding the Fourth Proportional to 2,793.77, 4,190.58 and 944.87

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Solution

The fourth proportional to 2,793.77, 4,190.58 and 944.87 is: 1,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.77 : 4,190.58 = 944.87 : x
  2. Step 2: Convert to fraction form
    2,793.77/4,190.58 = 944.87/x
  3. Step 3: Cross multiply
    2,793.77x = 4,190.58 × 944.87
  4. Step 4: Simplify right side
    2,793.77x = 3,959,553.32
  5. Step 5: Solve for x
    x = 3,959,553.32/2,793.77
  6. Step 6: Final answer
    x = 1,417.28

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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.