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Finding the Fourth Proportional to 2,697.75, 3,723.12 and 1,519.02

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Solution

The fourth proportional to 2,697.75, 3,723.12 and 1,519.02 is: 2,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.75 : 3,723.12 = 1,519.02 : x
  2. Step 2: Convert to fraction form
    2,697.75/3,723.12 = 1,519.02/x
  3. Step 3: Cross multiply
    2,697.75x = 3,723.12 × 1,519.02
  4. Step 4: Simplify right side
    2,697.75x = 5,655,493.74
  5. Step 5: Solve for x
    x = 5,655,493.74/2,697.75
  6. Step 6: Final answer
    x = 2,096.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.