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Finding the Fourth Proportional to 2,738.54, 4,096.50 and 2,505.70

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Solution

The fourth proportional to 2,738.54, 4,096.50 and 2,505.70 is: 3,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.54 : 4,096.50 = 2,505.70 : x
  2. Step 2: Convert to fraction form
    2,738.54/4,096.50 = 2,505.70/x
  3. Step 3: Cross multiply
    2,738.54x = 4,096.50 × 2,505.70
  4. Step 4: Simplify right side
    2,738.54x = 10,264,600.05
  5. Step 5: Solve for x
    x = 10,264,600.05/2,738.54
  6. Step 6: Final answer
    x = 3,748.20

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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.