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Finding the Fourth Proportional to 2,110.85, 3,166.24 and 940.54

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Solution

The fourth proportional to 2,110.85, 3,166.24 and 940.54 is: 1,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.85 : 3,166.24 = 940.54 : x
  2. Step 2: Convert to fraction form
    2,110.85/3,166.24 = 940.54/x
  3. Step 3: Cross multiply
    2,110.85x = 3,166.24 × 940.54
  4. Step 4: Simplify right side
    2,110.85x = 2,977,975.37
  5. Step 5: Solve for x
    x = 2,977,975.37/2,110.85
  6. Step 6: Final answer
    x = 1,410.79

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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.