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Finding the Fourth Proportional to 2,149.19, 3,224.80 and 668.64

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Solution

The fourth proportional to 2,149.19, 3,224.80 and 668.64 is: 1,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.19 : 3,224.80 = 668.64 : x
  2. Step 2: Convert to fraction form
    2,149.19/3,224.80 = 668.64/x
  3. Step 3: Cross multiply
    2,149.19x = 3,224.80 × 668.64
  4. Step 4: Simplify right side
    2,149.19x = 2,156,230.27
  5. Step 5: Solve for x
    x = 2,156,230.27/2,149.19
  6. Step 6: Final answer
    x = 1,003.28

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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.