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Finding the Fourth Proportional to 3,305.69, 4,561.85 and 1,908.44

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Solution

The fourth proportional to 3,305.69, 4,561.85 and 1,908.44 is: 2,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.69 : 4,561.85 = 1,908.44 : x
  2. Step 2: Convert to fraction form
    3,305.69/4,561.85 = 1,908.44/x
  3. Step 3: Cross multiply
    3,305.69x = 4,561.85 × 1,908.44
  4. Step 4: Simplify right side
    3,305.69x = 8,706,017.01
  5. Step 5: Solve for x
    x = 8,706,017.01/3,305.69
  6. Step 6: Final answer
    x = 2,633.65

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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.