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Finding the Fourth Proportional to 2,846.70, 4,270.05 and 1,202.70

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Solution

The fourth proportional to 2,846.70, 4,270.05 and 1,202.70 is: 1,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.70 : 4,270.05 = 1,202.70 : x
  2. Step 2: Convert to fraction form
    2,846.70/4,270.05 = 1,202.70/x
  3. Step 3: Cross multiply
    2,846.70x = 4,270.05 × 1,202.70
  4. Step 4: Simplify right side
    2,846.70x = 5,135,589.14
  5. Step 5: Solve for x
    x = 5,135,589.14/2,846.70
  6. Step 6: Final answer
    x = 1,804.05

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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.