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Finding the Fourth Proportional to 2,763.75, 4,144.92 and 815.50

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Solution

The fourth proportional to 2,763.75, 4,144.92 and 815.50 is: 1,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.75 : 4,144.92 = 815.50 : x
  2. Step 2: Convert to fraction form
    2,763.75/4,144.92 = 815.50/x
  3. Step 3: Cross multiply
    2,763.75x = 4,144.92 × 815.50
  4. Step 4: Simplify right side
    2,763.75x = 3,380,182.26
  5. Step 5: Solve for x
    x = 3,380,182.26/2,763.75
  6. Step 6: Final answer
    x = 1,223.04

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1.5x scale

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.