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Finding the Fourth Proportional to 4,277.26, 6,412.22 and 1,679.60

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Solution

The fourth proportional to 4,277.26, 6,412.22 and 1,679.60 is: 2,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.26 : 6,412.22 = 1,679.60 : x
  2. Step 2: Convert to fraction form
    4,277.26/6,412.22 = 1,679.60/x
  3. Step 3: Cross multiply
    4,277.26x = 6,412.22 × 1,679.60
  4. Step 4: Simplify right side
    4,277.26x = 10,769,964.71
  5. Step 5: Solve for x
    x = 10,769,964.71/4,277.26
  6. Step 6: Final answer
    x = 2,517.96

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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.