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Finding the Fourth Proportional to 2,763.65, 3,813.77 and 1,504.68

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Solution

The fourth proportional to 2,763.65, 3,813.77 and 1,504.68 is: 2,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.65 : 3,813.77 = 1,504.68 : x
  2. Step 2: Convert to fraction form
    2,763.65/3,813.77 = 1,504.68/x
  3. Step 3: Cross multiply
    2,763.65x = 3,813.77 × 1,504.68
  4. Step 4: Simplify right side
    2,763.65x = 5,738,511.53
  5. Step 5: Solve for x
    x = 5,738,511.53/2,763.65
  6. Step 6: Final answer
    x = 2,076.42

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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.