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Finding the Fourth Proportional to 2,763.96, 3,813.48 and 1,584.96

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Solution

The fourth proportional to 2,763.96, 3,813.48 and 1,584.96 is: 2,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.96 : 3,813.48 = 1,584.96 : x
  2. Step 2: Convert to fraction form
    2,763.96/3,813.48 = 1,584.96/x
  3. Step 3: Cross multiply
    2,763.96x = 3,813.48 × 1,584.96
  4. Step 4: Simplify right side
    2,763.96x = 6,044,213.26
  5. Step 5: Solve for x
    x = 6,044,213.26/2,763.96
  6. Step 6: Final answer
    x = 2,186.79

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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.