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Finding the Fourth Proportional to 2,188.18, 3,282.36 and 727.48

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Solution

The fourth proportional to 2,188.18, 3,282.36 and 727.48 is: 1,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.18 : 3,282.36 = 727.48 : x
  2. Step 2: Convert to fraction form
    2,188.18/3,282.36 = 727.48/x
  3. Step 3: Cross multiply
    2,188.18x = 3,282.36 × 727.48
  4. Step 4: Simplify right side
    2,188.18x = 2,387,851.25
  5. Step 5: Solve for x
    x = 2,387,851.25/2,188.18
  6. Step 6: Final answer
    x = 1,091.25

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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.