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Finding the Fourth Proportional to 1,636.92, 2,257.16 and 1,481.40

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Solution

The fourth proportional to 1,636.92, 2,257.16 and 1,481.40 is: 2,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.92 : 2,257.16 = 1,481.40 : x
  2. Step 2: Convert to fraction form
    1,636.92/2,257.16 = 1,481.40/x
  3. Step 3: Cross multiply
    1,636.92x = 2,257.16 × 1,481.40
  4. Step 4: Simplify right side
    1,636.92x = 3,343,749.42
  5. Step 5: Solve for x
    x = 3,343,749.42/1,636.92
  6. Step 6: Final answer
    x = 2,042.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.