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Finding the Fourth Proportional to 2,763.28, 4,144.84 and 815.52

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Solution

The fourth proportional to 2,763.28, 4,144.84 and 815.52 is: 1,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.28 : 4,144.84 = 815.52 : x
  2. Step 2: Convert to fraction form
    2,763.28/4,144.84 = 815.52/x
  3. Step 3: Cross multiply
    2,763.28x = 4,144.84 × 815.52
  4. Step 4: Simplify right side
    2,763.28x = 3,380,199.92
  5. Step 5: Solve for x
    x = 3,380,199.92/2,763.28
  6. Step 6: Final answer
    x = 1,223.26

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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.