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Finding the Fourth Proportional to 2,703.60, 3,727.36 and 2,028.54

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Solution

The fourth proportional to 2,703.60, 3,727.36 and 2,028.54 is: 2,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.60 : 3,727.36 = 2,028.54 : x
  2. Step 2: Convert to fraction form
    2,703.60/3,727.36 = 2,028.54/x
  3. Step 3: Cross multiply
    2,703.60x = 3,727.36 × 2,028.54
  4. Step 4: Simplify right side
    2,703.60x = 7,561,098.85
  5. Step 5: Solve for x
    x = 7,561,098.85/2,703.60
  6. Step 6: Final answer
    x = 2,796.68

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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.