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Finding the Fourth Proportional to 2,186.62, 3,016.56 and 1,255.12

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Solution

The fourth proportional to 2,186.62, 3,016.56 and 1,255.12 is: 1,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.62 : 3,016.56 = 1,255.12 : x
  2. Step 2: Convert to fraction form
    2,186.62/3,016.56 = 1,255.12/x
  3. Step 3: Cross multiply
    2,186.62x = 3,016.56 × 1,255.12
  4. Step 4: Simplify right side
    2,186.62x = 3,786,144.79
  5. Step 5: Solve for x
    x = 3,786,144.79/2,186.62
  6. Step 6: Final answer
    x = 1,731.51

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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.