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Finding the Fourth Proportional to 2,504.80, 3,757 and 1,205.92

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Solution

The fourth proportional to 2,504.80, 3,757 and 1,205.92 is: 1,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.80 : 3,757 = 1,205.92 : x
  2. Step 2: Convert to fraction form
    2,504.80/3,757 = 1,205.92/x
  3. Step 3: Cross multiply
    2,504.80x = 3,757 × 1,205.92
  4. Step 4: Simplify right side
    2,504.80x = 4,530,641.44
  5. Step 5: Solve for x
    x = 4,530,641.44/2,504.80
  6. Step 6: Final answer
    x = 1,808.78

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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.