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Finding the Fourth Proportional to 2,114.70, 3,171.34 and 1,003.96

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Solution

The fourth proportional to 2,114.70, 3,171.34 and 1,003.96 is: 1,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.70 : 3,171.34 = 1,003.96 : x
  2. Step 2: Convert to fraction form
    2,114.70/3,171.34 = 1,003.96/x
  3. Step 3: Cross multiply
    2,114.70x = 3,171.34 × 1,003.96
  4. Step 4: Simplify right side
    2,114.70x = 3,183,903.73
  5. Step 5: Solve for x
    x = 3,183,903.73/2,114.70
  6. Step 6: Final answer
    x = 1,505.61

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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.