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Finding the Fourth Proportional to 2,406.53, 3,609.81 and 763.25

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Solution

The fourth proportional to 2,406.53, 3,609.81 and 763.25 is: 1,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.53 : 3,609.81 = 763.25 : x
  2. Step 2: Convert to fraction form
    2,406.53/3,609.81 = 763.25/x
  3. Step 3: Cross multiply
    2,406.53x = 3,609.81 × 763.25
  4. Step 4: Simplify right side
    2,406.53x = 2,755,169.43
  5. Step 5: Solve for x
    x = 2,755,169.43/2,406.53
  6. Step 6: Final answer
    x = 1,144.87

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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.