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Finding the Fourth Proportional to 2,581.36, 3,873.91 and 938.03

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Solution

The fourth proportional to 2,581.36, 3,873.91 and 938.03 is: 1,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.36 : 3,873.91 = 938.03 : x
  2. Step 2: Convert to fraction form
    2,581.36/3,873.91 = 938.03/x
  3. Step 3: Cross multiply
    2,581.36x = 3,873.91 × 938.03
  4. Step 4: Simplify right side
    2,581.36x = 3,633,843.80
  5. Step 5: Solve for x
    x = 3,633,843.80/2,581.36
  6. Step 6: Final answer
    x = 1,407.72

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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.