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Finding the Fourth Proportional to 2,114.92, 3,169.63 and 1,003.96

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Solution

The fourth proportional to 2,114.92, 3,169.63 and 1,003.96 is: 1,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.92 : 3,169.63 = 1,003.96 : x
  2. Step 2: Convert to fraction form
    2,114.92/3,169.63 = 1,003.96/x
  3. Step 3: Cross multiply
    2,114.92x = 3,169.63 × 1,003.96
  4. Step 4: Simplify right side
    2,114.92x = 3,182,181.73
  5. Step 5: Solve for x
    x = 3,182,181.73/2,114.92
  6. Step 6: Final answer
    x = 1,504.63

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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.