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Finding the Fourth Proportional to 2,180.55, 3,009.13 and 1,185.84

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Solution

The fourth proportional to 2,180.55, 3,009.13 and 1,185.84 is: 1,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.55 : 3,009.13 = 1,185.84 : x
  2. Step 2: Convert to fraction form
    2,180.55/3,009.13 = 1,185.84/x
  3. Step 3: Cross multiply
    2,180.55x = 3,009.13 × 1,185.84
  4. Step 4: Simplify right side
    2,180.55x = 3,568,350.42
  5. Step 5: Solve for x
    x = 3,568,350.42/2,180.55
  6. Step 6: Final answer
    x = 1,636.44

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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.