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Finding the Fourth Proportional to 2,608.08, 3,600.80 and 1,824

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Solution

The fourth proportional to 2,608.08, 3,600.80 and 1,824 is: 2,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.08 : 3,600.80 = 1,824 : x
  2. Step 2: Convert to fraction form
    2,608.08/3,600.80 = 1,824/x
  3. Step 3: Cross multiply
    2,608.08x = 3,600.80 × 1,824
  4. Step 4: Simplify right side
    2,608.08x = 6,567,859.20
  5. Step 5: Solve for x
    x = 6,567,859.20/2,608.08
  6. Step 6: Final answer
    x = 2,518.27

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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.