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Finding the Fourth Proportional to 2,847.82, 4,270.69 and 1,204.49

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Solution

The fourth proportional to 2,847.82, 4,270.69 and 1,204.49 is: 1,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.82 : 4,270.69 = 1,204.49 : x
  2. Step 2: Convert to fraction form
    2,847.82/4,270.69 = 1,204.49/x
  3. Step 3: Cross multiply
    2,847.82x = 4,270.69 × 1,204.49
  4. Step 4: Simplify right side
    2,847.82x = 5,144,003.40
  5. Step 5: Solve for x
    x = 5,144,003.40/2,847.82
  6. Step 6: Final answer
    x = 1,806.30

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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.