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Finding the Fourth Proportional to 1,786.27, 2,679.29 and 536.83

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Solution

The fourth proportional to 1,786.27, 2,679.29 and 536.83 is: 805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.27 : 2,679.29 = 536.83 : x
  2. Step 2: Convert to fraction form
    1,786.27/2,679.29 = 536.83/x
  3. Step 3: Cross multiply
    1,786.27x = 2,679.29 × 536.83
  4. Step 4: Simplify right side
    1,786.27x = 1,438,333.97
  5. Step 5: Solve for x
    x = 1,438,333.97/1,786.27
  6. Step 6: Final answer
    x = 805.22

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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.