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Finding the Fourth Proportional to 3,270.17, 4,902.49 and 1,419.90

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Solution

The fourth proportional to 3,270.17, 4,902.49 and 1,419.90 is: 2,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.17 : 4,902.49 = 1,419.90 : x
  2. Step 2: Convert to fraction form
    3,270.17/4,902.49 = 1,419.90/x
  3. Step 3: Cross multiply
    3,270.17x = 4,902.49 × 1,419.90
  4. Step 4: Simplify right side
    3,270.17x = 6,961,045.55
  5. Step 5: Solve for x
    x = 6,961,045.55/3,270.17
  6. Step 6: Final answer
    x = 2,128.65

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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.