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Finding the Fourth Proportional to 2,155.96, 3,231.06 and 1,333.24

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Solution

The fourth proportional to 2,155.96, 3,231.06 and 1,333.24 is: 1,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.96 : 3,231.06 = 1,333.24 : x
  2. Step 2: Convert to fraction form
    2,155.96/3,231.06 = 1,333.24/x
  3. Step 3: Cross multiply
    2,155.96x = 3,231.06 × 1,333.24
  4. Step 4: Simplify right side
    2,155.96x = 4,307,778.43
  5. Step 5: Solve for x
    x = 4,307,778.43/2,155.96
  6. Step 6: Final answer
    x = 1,998.08

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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.