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Finding the Fourth Proportional to 2,835.81, 3,911.09 and 2,174.24

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Solution

The fourth proportional to 2,835.81, 3,911.09 and 2,174.24 is: 2,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.81 : 3,911.09 = 2,174.24 : x
  2. Step 2: Convert to fraction form
    2,835.81/3,911.09 = 2,174.24/x
  3. Step 3: Cross multiply
    2,835.81x = 3,911.09 × 2,174.24
  4. Step 4: Simplify right side
    2,835.81x = 8,503,647.23
  5. Step 5: Solve for x
    x = 8,503,647.23/2,835.81
  6. Step 6: Final answer
    x = 2,998.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.