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Finding the Fourth Proportional to 2,583.34, 3,873.27 and 1,194.79

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Solution

The fourth proportional to 2,583.34, 3,873.27 and 1,194.79 is: 1,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.34 : 3,873.27 = 1,194.79 : x
  2. Step 2: Convert to fraction form
    2,583.34/3,873.27 = 1,194.79/x
  3. Step 3: Cross multiply
    2,583.34x = 3,873.27 × 1,194.79
  4. Step 4: Simplify right side
    2,583.34x = 4,627,744.26
  5. Step 5: Solve for x
    x = 4,627,744.26/2,583.34
  6. Step 6: Final answer
    x = 1,791.38

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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.