Home / 2,832.30-3,906.99-1,782.54

Finding the Fourth Proportional to 2,832.30, 3,906.99 and 1,782.54

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Solution

The fourth proportional to 2,832.30, 3,906.99 and 1,782.54 is: 2,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.30 : 3,906.99 = 1,782.54 : x
  2. Step 2: Convert to fraction form
    2,832.30/3,906.99 = 1,782.54/x
  3. Step 3: Cross multiply
    2,832.30x = 3,906.99 × 1,782.54
  4. Step 4: Simplify right side
    2,832.30x = 6,964,365.95
  5. Step 5: Solve for x
    x = 6,964,365.95/2,832.30
  6. Step 6: Final answer
    x = 2,458.91

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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.