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Finding the Fourth Proportional to 2,138.73, 3,202.29 and 1,110.57

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Solution

The fourth proportional to 2,138.73, 3,202.29 and 1,110.57 is: 1,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.73 : 3,202.29 = 1,110.57 : x
  2. Step 2: Convert to fraction form
    2,138.73/3,202.29 = 1,110.57/x
  3. Step 3: Cross multiply
    2,138.73x = 3,202.29 × 1,110.57
  4. Step 4: Simplify right side
    2,138.73x = 3,556,367.21
  5. Step 5: Solve for x
    x = 3,556,367.21/2,138.73
  6. Step 6: Final answer
    x = 1,662.84

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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.