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Finding the Fourth Proportional to 2,782.25, 4,173.38 and 1,243.25

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Solution

The fourth proportional to 2,782.25, 4,173.38 and 1,243.25 is: 1,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.25 : 4,173.38 = 1,243.25 : x
  2. Step 2: Convert to fraction form
    2,782.25/4,173.38 = 1,243.25/x
  3. Step 3: Cross multiply
    2,782.25x = 4,173.38 × 1,243.25
  4. Step 4: Simplify right side
    2,782.25x = 5,188,548.47
  5. Step 5: Solve for x
    x = 5,188,548.47/2,782.25
  6. Step 6: Final answer
    x = 1,864.88

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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.