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Finding the Fourth Proportional to 3,100.26, 4,651.14 and 1,454.88

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Solution

The fourth proportional to 3,100.26, 4,651.14 and 1,454.88 is: 2,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.26 : 4,651.14 = 1,454.88 : x
  2. Step 2: Convert to fraction form
    3,100.26/4,651.14 = 1,454.88/x
  3. Step 3: Cross multiply
    3,100.26x = 4,651.14 × 1,454.88
  4. Step 4: Simplify right side
    3,100.26x = 6,766,850.56
  5. Step 5: Solve for x
    x = 6,766,850.56/3,100.26
  6. Step 6: Final answer
    x = 2,182.67

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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.