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Finding the Fourth Proportional to 2,180.69, 3,009.24 and 1,185.92

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Solution

The fourth proportional to 2,180.69, 3,009.24 and 1,185.92 is: 1,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.69 : 3,009.24 = 1,185.92 : x
  2. Step 2: Convert to fraction form
    2,180.69/3,009.24 = 1,185.92/x
  3. Step 3: Cross multiply
    2,180.69x = 3,009.24 × 1,185.92
  4. Step 4: Simplify right side
    2,180.69x = 3,568,702.85
  5. Step 5: Solve for x
    x = 3,568,702.85/2,180.69
  6. Step 6: Final answer
    x = 1,636.51

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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.