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Finding the Fourth Proportional to 2,242.24, 3,359.32 and 941.44

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Solution

The fourth proportional to 2,242.24, 3,359.32 and 941.44 is: 1,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.24 : 3,359.32 = 941.44 : x
  2. Step 2: Convert to fraction form
    2,242.24/3,359.32 = 941.44/x
  3. Step 3: Cross multiply
    2,242.24x = 3,359.32 × 941.44
  4. Step 4: Simplify right side
    2,242.24x = 3,162,598.22
  5. Step 5: Solve for x
    x = 3,162,598.22/2,242.24
  6. Step 6: Final answer
    x = 1,410.46

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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.