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Finding the Fourth Proportional to 2,242.44, 3,093.88 and 1,297.88

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Solution

The fourth proportional to 2,242.44, 3,093.88 and 1,297.88 is: 1,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.44 : 3,093.88 = 1,297.88 : x
  2. Step 2: Convert to fraction form
    2,242.44/3,093.88 = 1,297.88/x
  3. Step 3: Cross multiply
    2,242.44x = 3,093.88 × 1,297.88
  4. Step 4: Simplify right side
    2,242.44x = 4,015,484.97
  5. Step 5: Solve for x
    x = 4,015,484.97/2,242.44
  6. Step 6: Final answer
    x = 1,790.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.