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Finding the Fourth Proportional to 3,274.82, 4,519.36 and 1,782.80

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Solution

The fourth proportional to 3,274.82, 4,519.36 and 1,782.80 is: 2,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.82 : 4,519.36 = 1,782.80 : x
  2. Step 2: Convert to fraction form
    3,274.82/4,519.36 = 1,782.80/x
  3. Step 3: Cross multiply
    3,274.82x = 4,519.36 × 1,782.80
  4. Step 4: Simplify right side
    3,274.82x = 8,057,115.01
  5. Step 5: Solve for x
    x = 8,057,115.01/3,274.82
  6. Step 6: Final answer
    x = 2,460.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.