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Finding the Fourth Proportional to 2,757.96, 4,121.19 and 2,096.20

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Solution

The fourth proportional to 2,757.96, 4,121.19 and 2,096.20 is: 3,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.96 : 4,121.19 = 2,096.20 : x
  2. Step 2: Convert to fraction form
    2,757.96/4,121.19 = 2,096.20/x
  3. Step 3: Cross multiply
    2,757.96x = 4,121.19 × 2,096.20
  4. Step 4: Simplify right side
    2,757.96x = 8,638,838.48
  5. Step 5: Solve for x
    x = 8,638,838.48/2,757.96
  6. Step 6: Final answer
    x = 3,132.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.