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Finding the Fourth Proportional to 2,236.36, 3,354.62 and 938.74

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Solution

The fourth proportional to 2,236.36, 3,354.62 and 938.74 is: 1,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.36 : 3,354.62 = 938.74 : x
  2. Step 2: Convert to fraction form
    2,236.36/3,354.62 = 938.74/x
  3. Step 3: Cross multiply
    2,236.36x = 3,354.62 × 938.74
  4. Step 4: Simplify right side
    2,236.36x = 3,149,109.19
  5. Step 5: Solve for x
    x = 3,149,109.19/2,236.36
  6. Step 6: Final answer
    x = 1,408.14

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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.