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Finding the Fourth Proportional to 2,408.09, 3,609.68 and 945.23

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Solution

The fourth proportional to 2,408.09, 3,609.68 and 945.23 is: 1,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.09 : 3,609.68 = 945.23 : x
  2. Step 2: Convert to fraction form
    2,408.09/3,609.68 = 945.23/x
  3. Step 3: Cross multiply
    2,408.09x = 3,609.68 × 945.23
  4. Step 4: Simplify right side
    2,408.09x = 3,411,955.05
  5. Step 5: Solve for x
    x = 3,411,955.05/2,408.09
  6. Step 6: Final answer
    x = 1,416.87

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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.