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Finding the Fourth Proportional to 2,406.67, 3,609.64 and 1,481.75

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Solution

The fourth proportional to 2,406.67, 3,609.64 and 1,481.75 is: 2,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.67 : 3,609.64 = 1,481.75 : x
  2. Step 2: Convert to fraction form
    2,406.67/3,609.64 = 1,481.75/x
  3. Step 3: Cross multiply
    2,406.67x = 3,609.64 × 1,481.75
  4. Step 4: Simplify right side
    2,406.67x = 5,348,584.07
  5. Step 5: Solve for x
    x = 5,348,584.07/2,406.67
  6. Step 6: Final answer
    x = 2,222.40

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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.