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Finding the Fourth Proportional to 2,180.64, 3,009.24 and 1,185.93

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Solution

The fourth proportional to 2,180.64, 3,009.24 and 1,185.93 is: 1,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.64 : 3,009.24 = 1,185.93 : x
  2. Step 2: Convert to fraction form
    2,180.64/3,009.24 = 1,185.93/x
  3. Step 3: Cross multiply
    2,180.64x = 3,009.24 × 1,185.93
  4. Step 4: Simplify right side
    2,180.64x = 3,568,747.99
  5. Step 5: Solve for x
    x = 3,568,747.99/2,180.64
  6. Step 6: Final answer
    x = 1,636.56

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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.