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Finding the Fourth Proportional to 3,274.99, 4,519.48 and 1,782.91

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Solution

The fourth proportional to 3,274.99, 4,519.48 and 1,782.91 is: 2,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.99 : 4,519.48 = 1,782.91 : x
  2. Step 2: Convert to fraction form
    3,274.99/4,519.48 = 1,782.91/x
  3. Step 3: Cross multiply
    3,274.99x = 4,519.48 × 1,782.91
  4. Step 4: Simplify right side
    3,274.99x = 8,057,826.09
  5. Step 5: Solve for x
    x = 8,057,826.09/3,274.99
  6. Step 6: Final answer
    x = 2,460.41

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1.5x scale

Why These Related Problems?

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