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Finding the Fourth Proportional to 2,003.16, 3,004.09 and 668.60

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Solution

The fourth proportional to 2,003.16, 3,004.09 and 668.60 is: 1,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.16 : 3,004.09 = 668.60 : x
  2. Step 2: Convert to fraction form
    2,003.16/3,004.09 = 668.60/x
  3. Step 3: Cross multiply
    2,003.16x = 3,004.09 × 668.60
  4. Step 4: Simplify right side
    2,003.16x = 2,008,531.23
  5. Step 5: Solve for x
    x = 2,008,531.23/2,003.16
  6. Step 6: Final answer
    x = 1,002.68

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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.