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Finding the Fourth Proportional to 2,243.70, 3,362.90 and 1,204.43

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Solution

The fourth proportional to 2,243.70, 3,362.90 and 1,204.43 is: 1,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.70 : 3,362.90 = 1,204.43 : x
  2. Step 2: Convert to fraction form
    2,243.70/3,362.90 = 1,204.43/x
  3. Step 3: Cross multiply
    2,243.70x = 3,362.90 × 1,204.43
  4. Step 4: Simplify right side
    2,243.70x = 4,050,354.81
  5. Step 5: Solve for x
    x = 4,050,354.81/2,243.70
  6. Step 6: Final answer
    x = 1,805.21

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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.