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Finding the Fourth Proportional to 2,471.88, 3,708.14 and 911.67

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Solution

The fourth proportional to 2,471.88, 3,708.14 and 911.67 is: 1,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.88 : 3,708.14 = 911.67 : x
  2. Step 2: Convert to fraction form
    2,471.88/3,708.14 = 911.67/x
  3. Step 3: Cross multiply
    2,471.88x = 3,708.14 × 911.67
  4. Step 4: Simplify right side
    2,471.88x = 3,380,595.44
  5. Step 5: Solve for x
    x = 3,380,595.44/2,471.88
  6. Step 6: Final answer
    x = 1,367.62

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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.