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Finding the Fourth Proportional to 2,581.37, 3,873.16 and 938.15

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Solution

The fourth proportional to 2,581.37, 3,873.16 and 938.15 is: 1,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.37 : 3,873.16 = 938.15 : x
  2. Step 2: Convert to fraction form
    2,581.37/3,873.16 = 938.15/x
  3. Step 3: Cross multiply
    2,581.37x = 3,873.16 × 938.15
  4. Step 4: Simplify right side
    2,581.37x = 3,633,605.05
  5. Step 5: Solve for x
    x = 3,633,605.05/2,581.37
  6. Step 6: Final answer
    x = 1,407.63

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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.