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Finding the Fourth Proportional to 2,820.28, 4,230.36 and 768.28

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Solution

The fourth proportional to 2,820.28, 4,230.36 and 768.28 is: 1,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.28 : 4,230.36 = 768.28 : x
  2. Step 2: Convert to fraction form
    2,820.28/4,230.36 = 768.28/x
  3. Step 3: Cross multiply
    2,820.28x = 4,230.36 × 768.28
  4. Step 4: Simplify right side
    2,820.28x = 3,250,100.98
  5. Step 5: Solve for x
    x = 3,250,100.98/2,820.28
  6. Step 6: Final answer
    x = 1,152.40

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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.