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Finding the Fourth Proportional to 4,805.94, 7,208.96 and 1,519.05

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Solution

The fourth proportional to 4,805.94, 7,208.96 and 1,519.05 is: 2,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.94 : 7,208.96 = 1,519.05 : x
  2. Step 2: Convert to fraction form
    4,805.94/7,208.96 = 1,519.05/x
  3. Step 3: Cross multiply
    4,805.94x = 7,208.96 × 1,519.05
  4. Step 4: Simplify right side
    4,805.94x = 10,950,763.09
  5. Step 5: Solve for x
    x = 10,950,763.09/4,805.94
  6. Step 6: Final answer
    x = 2,278.59

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1.5x scale

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.