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Finding the Fourth Proportional to 3,270.66, 4,902.58 and 1,420.21

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Solution

The fourth proportional to 3,270.66, 4,902.58 and 1,420.21 is: 2,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.66 : 4,902.58 = 1,420.21 : x
  2. Step 2: Convert to fraction form
    3,270.66/4,902.58 = 1,420.21/x
  3. Step 3: Cross multiply
    3,270.66x = 4,902.58 × 1,420.21
  4. Step 4: Simplify right side
    3,270.66x = 6,962,693.14
  5. Step 5: Solve for x
    x = 6,962,693.14/3,270.66
  6. Step 6: Final answer
    x = 2,128.83

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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.