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Finding the Fourth Proportional to 2,581.70, 3,873.42 and 938.37

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Solution

The fourth proportional to 2,581.70, 3,873.42 and 938.37 is: 1,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.70 : 3,873.42 = 938.37 : x
  2. Step 2: Convert to fraction form
    2,581.70/3,873.42 = 938.37/x
  3. Step 3: Cross multiply
    2,581.70x = 3,873.42 × 938.37
  4. Step 4: Simplify right side
    2,581.70x = 3,634,715.65
  5. Step 5: Solve for x
    x = 3,634,715.65/2,581.70
  6. Step 6: Final answer
    x = 1,407.88

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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.