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Finding the Fourth Proportional to 2,728.74, 3,765.48 and 1,609.42

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Solution

The fourth proportional to 2,728.74, 3,765.48 and 1,609.42 is: 2,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.74 : 3,765.48 = 1,609.42 : x
  2. Step 2: Convert to fraction form
    2,728.74/3,765.48 = 1,609.42/x
  3. Step 3: Cross multiply
    2,728.74x = 3,765.48 × 1,609.42
  4. Step 4: Simplify right side
    2,728.74x = 6,060,221.36
  5. Step 5: Solve for x
    x = 6,060,221.36/2,728.74
  6. Step 6: Final answer
    x = 2,220.89

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