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Finding the Fourth Proportional to 2,763.54, 4,145.73 and 815.82

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Solution

The fourth proportional to 2,763.54, 4,145.73 and 815.82 is: 1,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.54 : 4,145.73 = 815.82 : x
  2. Step 2: Convert to fraction form
    2,763.54/4,145.73 = 815.82/x
  3. Step 3: Cross multiply
    2,763.54x = 4,145.73 × 815.82
  4. Step 4: Simplify right side
    2,763.54x = 3,382,169.45
  5. Step 5: Solve for x
    x = 3,382,169.45/2,763.54
  6. Step 6: Final answer
    x = 1,223.85

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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.