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Finding the Fourth Proportional to 3,274.98, 4,519.44 and 1,782.87

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Solution

The fourth proportional to 3,274.98, 4,519.44 and 1,782.87 is: 2,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.98 : 4,519.44 = 1,782.87 : x
  2. Step 2: Convert to fraction form
    3,274.98/4,519.44 = 1,782.87/x
  3. Step 3: Cross multiply
    3,274.98x = 4,519.44 × 1,782.87
  4. Step 4: Simplify right side
    3,274.98x = 8,057,573.99
  5. Step 5: Solve for x
    x = 8,057,573.99/3,274.98
  6. Step 6: Final answer
    x = 2,460.34

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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.