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Finding the Fourth Proportional to 2,612.22, 3,918 and 968.73

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Solution

The fourth proportional to 2,612.22, 3,918 and 968.73 is: 1,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.22 : 3,918 = 968.73 : x
  2. Step 2: Convert to fraction form
    2,612.22/3,918 = 968.73/x
  3. Step 3: Cross multiply
    2,612.22x = 3,918 × 968.73
  4. Step 4: Simplify right side
    2,612.22x = 3,795,484.14
  5. Step 5: Solve for x
    x = 3,795,484.14/2,612.22
  6. Step 6: Final answer
    x = 1,452.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.