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Finding the Fourth Proportional to 2,072.98, 3,109.17 and 687.27

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Solution

The fourth proportional to 2,072.98, 3,109.17 and 687.27 is: 1,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.98 : 3,109.17 = 687.27 : x
  2. Step 2: Convert to fraction form
    2,072.98/3,109.17 = 687.27/x
  3. Step 3: Cross multiply
    2,072.98x = 3,109.17 × 687.27
  4. Step 4: Simplify right side
    2,072.98x = 2,136,839.27
  5. Step 5: Solve for x
    x = 2,136,839.27/2,072.98
  6. Step 6: Final answer
    x = 1,030.81

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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.