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Finding the Fourth Proportional to 2,242.35, 3,361.91 and 944.73

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Solution

The fourth proportional to 2,242.35, 3,361.91 and 944.73 is: 1,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.35 : 3,361.91 = 944.73 : x
  2. Step 2: Convert to fraction form
    2,242.35/3,361.91 = 944.73/x
  3. Step 3: Cross multiply
    2,242.35x = 3,361.91 × 944.73
  4. Step 4: Simplify right side
    2,242.35x = 3,176,092.51
  5. Step 5: Solve for x
    x = 3,176,092.51/2,242.35
  6. Step 6: Final answer
    x = 1,416.41

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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.