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Finding the Fourth Proportional to 2,786.72, 4,182.12 and 2,245.43

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Solution

The fourth proportional to 2,786.72, 4,182.12 and 2,245.43 is: 3,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.72 : 4,182.12 = 2,245.43 : x
  2. Step 2: Convert to fraction form
    2,786.72/4,182.12 = 2,245.43/x
  3. Step 3: Cross multiply
    2,786.72x = 4,182.12 × 2,245.43
  4. Step 4: Simplify right side
    2,786.72x = 9,390,668.17
  5. Step 5: Solve for x
    x = 9,390,668.17/2,786.72
  6. Step 6: Final answer
    x = 3,369.80

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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.