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Finding the Fourth Proportional to 3,481.50, 4,804.82 and 1,989.63

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Solution

The fourth proportional to 3,481.50, 4,804.82 and 1,989.63 is: 2,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.50 : 4,804.82 = 1,989.63 : x
  2. Step 2: Convert to fraction form
    3,481.50/4,804.82 = 1,989.63/x
  3. Step 3: Cross multiply
    3,481.50x = 4,804.82 × 1,989.63
  4. Step 4: Simplify right side
    3,481.50x = 9,559,814.02
  5. Step 5: Solve for x
    x = 9,559,814.02/3,481.50
  6. Step 6: Final answer
    x = 2,745.89

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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.