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Finding the Fourth Proportional to 2,208.52, 3,306.92 and 1,728.82

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Solution

The fourth proportional to 2,208.52, 3,306.92 and 1,728.82 is: 2,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.52 : 3,306.92 = 1,728.82 : x
  2. Step 2: Convert to fraction form
    2,208.52/3,306.92 = 1,728.82/x
  3. Step 3: Cross multiply
    2,208.52x = 3,306.92 × 1,728.82
  4. Step 4: Simplify right side
    2,208.52x = 5,717,069.43
  5. Step 5: Solve for x
    x = 5,717,069.43/2,208.52
  6. Step 6: Final answer
    x = 2,588.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.