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Finding the Fourth Proportional to 2,072.27, 3,108.47 and 685.55

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Solution

The fourth proportional to 2,072.27, 3,108.47 and 685.55 is: 1,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.27 : 3,108.47 = 685.55 : x
  2. Step 2: Convert to fraction form
    2,072.27/3,108.47 = 685.55/x
  3. Step 3: Cross multiply
    2,072.27x = 3,108.47 × 685.55
  4. Step 4: Simplify right side
    2,072.27x = 2,130,992.64
  5. Step 5: Solve for x
    x = 2,130,992.64/2,072.27
  6. Step 6: Final answer
    x = 1,028.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.