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Finding the Fourth Proportional to 3,279.94, 4,919.82 and 1,090.24

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Solution

The fourth proportional to 3,279.94, 4,919.82 and 1,090.24 is: 1,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.94 : 4,919.82 = 1,090.24 : x
  2. Step 2: Convert to fraction form
    3,279.94/4,919.82 = 1,090.24/x
  3. Step 3: Cross multiply
    3,279.94x = 4,919.82 × 1,090.24
  4. Step 4: Simplify right side
    3,279.94x = 5,363,784.56
  5. Step 5: Solve for x
    x = 5,363,784.56/3,279.94
  6. Step 6: Final answer
    x = 1,635.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.