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Finding the Fourth Proportional to 2,180.49, 3,009.07 and 1,185.78

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Solution

The fourth proportional to 2,180.49, 3,009.07 and 1,185.78 is: 1,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.49 : 3,009.07 = 1,185.78 : x
  2. Step 2: Convert to fraction form
    2,180.49/3,009.07 = 1,185.78/x
  3. Step 3: Cross multiply
    2,180.49x = 3,009.07 × 1,185.78
  4. Step 4: Simplify right side
    2,180.49x = 3,568,089.97
  5. Step 5: Solve for x
    x = 3,568,089.97/2,180.49
  6. Step 6: Final answer
    x = 1,636.37

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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.