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Finding the Fourth Proportional to 2,788.37, 4,183.04 and 939.50

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Solution

The fourth proportional to 2,788.37, 4,183.04 and 939.50 is: 1,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.37 : 4,183.04 = 939.50 : x
  2. Step 2: Convert to fraction form
    2,788.37/4,183.04 = 939.50/x
  3. Step 3: Cross multiply
    2,788.37x = 4,183.04 × 939.50
  4. Step 4: Simplify right side
    2,788.37x = 3,929,957.25
  5. Step 5: Solve for x
    x = 3,929,957.25/2,788.37
  6. Step 6: Final answer
    x = 1,409.41

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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.