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Finding the Fourth Proportional to 3,197.81, 4,796.75 and 889.31

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Solution

The fourth proportional to 3,197.81, 4,796.75 and 889.31 is: 1,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.81 : 4,796.75 = 889.31 : x
  2. Step 2: Convert to fraction form
    3,197.81/4,796.75 = 889.31/x
  3. Step 3: Cross multiply
    3,197.81x = 4,796.75 × 889.31
  4. Step 4: Simplify right side
    3,197.81x = 4,265,811.96
  5. Step 5: Solve for x
    x = 4,265,811.96/3,197.81
  6. Step 6: Final answer
    x = 1,333.98

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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.