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Finding the Fourth Proportional to 2,242.02, 3,362.43 and 943.19

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Solution

The fourth proportional to 2,242.02, 3,362.43 and 943.19 is: 1,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.02 : 3,362.43 = 943.19 : x
  2. Step 2: Convert to fraction form
    2,242.02/3,362.43 = 943.19/x
  3. Step 3: Cross multiply
    2,242.02x = 3,362.43 × 943.19
  4. Step 4: Simplify right side
    2,242.02x = 3,171,410.35
  5. Step 5: Solve for x
    x = 3,171,410.35/2,242.02
  6. Step 6: Final answer
    x = 1,414.53

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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.