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Finding the Fourth Proportional to 4,277.48, 6,414.60 and 1,679

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Solution

The fourth proportional to 4,277.48, 6,414.60 and 1,679 is: 2,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.48 : 6,414.60 = 1,679 : x
  2. Step 2: Convert to fraction form
    4,277.48/6,414.60 = 1,679/x
  3. Step 3: Cross multiply
    4,277.48x = 6,414.60 × 1,679
  4. Step 4: Simplify right side
    4,277.48x = 10,770,113.40
  5. Step 5: Solve for x
    x = 10,770,113.40/4,277.48
  6. Step 6: Final answer
    x = 2,517.86

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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.