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Finding the Fourth Proportional to 2,616.15, 3,924.22 and 668.35

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Solution

The fourth proportional to 2,616.15, 3,924.22 and 668.35 is: 1,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.15 : 3,924.22 = 668.35 : x
  2. Step 2: Convert to fraction form
    2,616.15/3,924.22 = 668.35/x
  3. Step 3: Cross multiply
    2,616.15x = 3,924.22 × 668.35
  4. Step 4: Simplify right side
    2,616.15x = 2,622,752.44
  5. Step 5: Solve for x
    x = 2,622,752.44/2,616.15
  6. Step 6: Final answer
    x = 1,002.52

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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.