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Finding the Fourth Proportional to 2,406.67, 3,609.69 and 763.23

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Solution

The fourth proportional to 2,406.67, 3,609.69 and 763.23 is: 1,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.67 : 3,609.69 = 763.23 : x
  2. Step 2: Convert to fraction form
    2,406.67/3,609.69 = 763.23/x
  3. Step 3: Cross multiply
    2,406.67x = 3,609.69 × 763.23
  4. Step 4: Simplify right side
    2,406.67x = 2,755,023.70
  5. Step 5: Solve for x
    x = 2,755,023.70/2,406.67
  6. Step 6: Final answer
    x = 1,144.75

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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.