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Finding the Fourth Proportional to 2,583.43, 3,873.22 and 941.36

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Solution

The fourth proportional to 2,583.43, 3,873.22 and 941.36 is: 1,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.43 : 3,873.22 = 941.36 : x
  2. Step 2: Convert to fraction form
    2,583.43/3,873.22 = 941.36/x
  3. Step 3: Cross multiply
    2,583.43x = 3,873.22 × 941.36
  4. Step 4: Simplify right side
    2,583.43x = 3,646,072.66
  5. Step 5: Solve for x
    x = 3,646,072.66/2,583.43
  6. Step 6: Final answer
    x = 1,411.33

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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.