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Finding the Fourth Proportional to 2,581.79, 3,874.22 and 938.46

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Solution

The fourth proportional to 2,581.79, 3,874.22 and 938.46 is: 1,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.79 : 3,874.22 = 938.46 : x
  2. Step 2: Convert to fraction form
    2,581.79/3,874.22 = 938.46/x
  3. Step 3: Cross multiply
    2,581.79x = 3,874.22 × 938.46
  4. Step 4: Simplify right side
    2,581.79x = 3,635,795.81
  5. Step 5: Solve for x
    x = 3,635,795.81/2,581.79
  6. Step 6: Final answer
    x = 1,408.25

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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.