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Finding the Fourth Proportional to 2,730.03, 4,096.26 and 998.25

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Solution

The fourth proportional to 2,730.03, 4,096.26 and 998.25 is: 1,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.03 : 4,096.26 = 998.25 : x
  2. Step 2: Convert to fraction form
    2,730.03/4,096.26 = 998.25/x
  3. Step 3: Cross multiply
    2,730.03x = 4,096.26 × 998.25
  4. Step 4: Simplify right side
    2,730.03x = 4,089,091.55
  5. Step 5: Solve for x
    x = 4,089,091.55/2,730.03
  6. Step 6: Final answer
    x = 1,497.82

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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.