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Finding the Fourth Proportional to 4,273.37, 6,410.73 and 1,640.77

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Solution

The fourth proportional to 4,273.37, 6,410.73 and 1,640.77 is: 2,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.37 : 6,410.73 = 1,640.77 : x
  2. Step 2: Convert to fraction form
    4,273.37/6,410.73 = 1,640.77/x
  3. Step 3: Cross multiply
    4,273.37x = 6,410.73 × 1,640.77
  4. Step 4: Simplify right side
    4,273.37x = 10,518,523.59
  5. Step 5: Solve for x
    x = 10,518,523.59/4,273.37
  6. Step 6: Final answer
    x = 2,461.41

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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.