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Finding the Fourth Proportional to 1,639.82, 2,262.84 and 893.78

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Solution

The fourth proportional to 1,639.82, 2,262.84 and 893.78 is: 1,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.82 : 2,262.84 = 893.78 : x
  2. Step 2: Convert to fraction form
    1,639.82/2,262.84 = 893.78/x
  3. Step 3: Cross multiply
    1,639.82x = 2,262.84 × 893.78
  4. Step 4: Simplify right side
    1,639.82x = 2,022,481.14
  5. Step 5: Solve for x
    x = 2,022,481.14/1,639.82
  6. Step 6: Final answer
    x = 1,233.36

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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.