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Finding the Fourth Proportional to 2,782.26, 4,167.72 and 2,231.46

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Solution

The fourth proportional to 2,782.26, 4,167.72 and 2,231.46 is: 3,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.26 : 4,167.72 = 2,231.46 : x
  2. Step 2: Convert to fraction form
    2,782.26/4,167.72 = 2,231.46/x
  3. Step 3: Cross multiply
    2,782.26x = 4,167.72 × 2,231.46
  4. Step 4: Simplify right side
    2,782.26x = 9,300,100.47
  5. Step 5: Solve for x
    x = 9,300,100.47/2,782.26
  6. Step 6: Final answer
    x = 3,342.64

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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.