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Finding the Fourth Proportional to 3,270.41, 4,902.21 and 1,419.96

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Solution

The fourth proportional to 3,270.41, 4,902.21 and 1,419.96 is: 2,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.41 : 4,902.21 = 1,419.96 : x
  2. Step 2: Convert to fraction form
    3,270.41/4,902.21 = 1,419.96/x
  3. Step 3: Cross multiply
    3,270.41x = 4,902.21 × 1,419.96
  4. Step 4: Simplify right side
    3,270.41x = 6,960,942.11
  5. Step 5: Solve for x
    x = 6,960,942.11/3,270.41
  6. Step 6: Final answer
    x = 2,128.46

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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.