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Finding the Fourth Proportional to 2,408.28, 3,612.82 and 927.38

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Solution

The fourth proportional to 2,408.28, 3,612.82 and 927.38 is: 1,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.28 : 3,612.82 = 927.38 : x
  2. Step 2: Convert to fraction form
    2,408.28/3,612.82 = 927.38/x
  3. Step 3: Cross multiply
    2,408.28x = 3,612.82 × 927.38
  4. Step 4: Simplify right side
    2,408.28x = 3,350,457.01
  5. Step 5: Solve for x
    x = 3,350,457.01/2,408.28
  6. Step 6: Final answer
    x = 1,391.22

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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.