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Finding the Fourth Proportional to 2,832.09, 3,907.62 and 1,652.73

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Solution

The fourth proportional to 2,832.09, 3,907.62 and 1,652.73 is: 2,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.09 : 3,907.62 = 1,652.73 : x
  2. Step 2: Convert to fraction form
    2,832.09/3,907.62 = 1,652.73/x
  3. Step 3: Cross multiply
    2,832.09x = 3,907.62 × 1,652.73
  4. Step 4: Simplify right side
    2,832.09x = 6,458,240.80
  5. Step 5: Solve for x
    x = 6,458,240.80/2,832.09
  6. Step 6: Final answer
    x = 2,280.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.