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Finding the Fourth Proportional to 2,954.21, 4,431.44 and 874.13

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Solution

The fourth proportional to 2,954.21, 4,431.44 and 874.13 is: 1,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.21 : 4,431.44 = 874.13 : x
  2. Step 2: Convert to fraction form
    2,954.21/4,431.44 = 874.13/x
  3. Step 3: Cross multiply
    2,954.21x = 4,431.44 × 874.13
  4. Step 4: Simplify right side
    2,954.21x = 3,873,634.68
  5. Step 5: Solve for x
    x = 3,873,634.68/2,954.21
  6. Step 6: Final answer
    x = 1,311.23

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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.