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Finding the Fourth Proportional to 2,615.82, 3,923.77 and 668.02

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Solution

The fourth proportional to 2,615.82, 3,923.77 and 668.02 is: 1,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.82 : 3,923.77 = 668.02 : x
  2. Step 2: Convert to fraction form
    2,615.82/3,923.77 = 668.02/x
  3. Step 3: Cross multiply
    2,615.82x = 3,923.77 × 668.02
  4. Step 4: Simplify right side
    2,615.82x = 2,621,163.12
  5. Step 5: Solve for x
    x = 2,621,163.12/2,615.82
  6. Step 6: Final answer
    x = 1,002.04

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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.