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Finding the Fourth Proportional to 3,161.77, 4,364.76 and 1,835.26

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Solution

The fourth proportional to 3,161.77, 4,364.76 and 1,835.26 is: 2,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.77 : 4,364.76 = 1,835.26 : x
  2. Step 2: Convert to fraction form
    3,161.77/4,364.76 = 1,835.26/x
  3. Step 3: Cross multiply
    3,161.77x = 4,364.76 × 1,835.26
  4. Step 4: Simplify right side
    3,161.77x = 8,010,469.44
  5. Step 5: Solve for x
    x = 8,010,469.44/3,161.77
  6. Step 6: Final answer
    x = 2,533.54

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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.