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Finding the Fourth Proportional to 2,992.27, 4,129.34 and 1,733.57

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Solution

The fourth proportional to 2,992.27, 4,129.34 and 1,733.57 is: 2,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.27 : 4,129.34 = 1,733.57 : x
  2. Step 2: Convert to fraction form
    2,992.27/4,129.34 = 1,733.57/x
  3. Step 3: Cross multiply
    2,992.27x = 4,129.34 × 1,733.57
  4. Step 4: Simplify right side
    2,992.27x = 7,158,512.33
  5. Step 5: Solve for x
    x = 7,158,512.33/2,992.27
  6. Step 6: Final answer
    x = 2,392.33

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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.