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Finding the Fourth Proportional to 2,581.38, 3,873.62 and 938.06

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Solution

The fourth proportional to 2,581.38, 3,873.62 and 938.06 is: 1,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.38 : 3,873.62 = 938.06 : x
  2. Step 2: Convert to fraction form
    2,581.38/3,873.62 = 938.06/x
  3. Step 3: Cross multiply
    2,581.38x = 3,873.62 × 938.06
  4. Step 4: Simplify right side
    2,581.38x = 3,633,663.92
  5. Step 5: Solve for x
    x = 3,633,663.92/2,581.38
  6. Step 6: Final answer
    x = 1,407.64

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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.