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Finding the Fourth Proportional to 2,188.83, 3,282.54 and 727.59

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Solution

The fourth proportional to 2,188.83, 3,282.54 and 727.59 is: 1,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.83 : 3,282.54 = 727.59 : x
  2. Step 2: Convert to fraction form
    2,188.83/3,282.54 = 727.59/x
  3. Step 3: Cross multiply
    2,188.83x = 3,282.54 × 727.59
  4. Step 4: Simplify right side
    2,188.83x = 2,388,343.28
  5. Step 5: Solve for x
    x = 2,388,343.28/2,188.83
  6. Step 6: Final answer
    x = 1,091.15

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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.