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Finding the Fourth Proportional to 2,822.33, 4,233.74 and 1,179.02

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Solution

The fourth proportional to 2,822.33, 4,233.74 and 1,179.02 is: 1,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.33 : 4,233.74 = 1,179.02 : x
  2. Step 2: Convert to fraction form
    2,822.33/4,233.74 = 1,179.02/x
  3. Step 3: Cross multiply
    2,822.33x = 4,233.74 × 1,179.02
  4. Step 4: Simplify right side
    2,822.33x = 4,991,668.82
  5. Step 5: Solve for x
    x = 4,991,668.82/2,822.33
  6. Step 6: Final answer
    x = 1,768.63

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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.