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Finding the Fourth Proportional to 2,207.54, 3,046.44 and 1,212.80

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Solution

The fourth proportional to 2,207.54, 3,046.44 and 1,212.80 is: 1,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.54 : 3,046.44 = 1,212.80 : x
  2. Step 2: Convert to fraction form
    2,207.54/3,046.44 = 1,212.80/x
  3. Step 3: Cross multiply
    2,207.54x = 3,046.44 × 1,212.80
  4. Step 4: Simplify right side
    2,207.54x = 3,694,707.20
  5. Step 5: Solve for x
    x = 3,694,707.20/2,207.54
  6. Step 6: Final answer
    x = 1,673.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.