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Finding the Fourth Proportional to 1,481.82, 2,045.16 and 892.41

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Solution

The fourth proportional to 1,481.82, 2,045.16 and 892.41 is: 1,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.82 : 2,045.16 = 892.41 : x
  2. Step 2: Convert to fraction form
    1,481.82/2,045.16 = 892.41/x
  3. Step 3: Cross multiply
    1,481.82x = 2,045.16 × 892.41
  4. Step 4: Simplify right side
    1,481.82x = 1,825,121.24
  5. Step 5: Solve for x
    x = 1,825,121.24/1,481.82
  6. Step 6: Final answer
    x = 1,231.68

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Why These Related Problems?

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