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Finding the Fourth Proportional to 2,063.68, 3,081.68 and 1,804.48

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Solution

The fourth proportional to 2,063.68, 3,081.68 and 1,804.48 is: 2,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.68 : 3,081.68 = 1,804.48 : x
  2. Step 2: Convert to fraction form
    2,063.68/3,081.68 = 1,804.48/x
  3. Step 3: Cross multiply
    2,063.68x = 3,081.68 × 1,804.48
  4. Step 4: Simplify right side
    2,063.68x = 5,560,829.93
  5. Step 5: Solve for x
    x = 5,560,829.93/2,063.68
  6. Step 6: Final answer
    x = 2,694.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.