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Finding the Fourth Proportional to 2,697.73, 3,723.38 and 1,518.80

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Solution

The fourth proportional to 2,697.73, 3,723.38 and 1,518.80 is: 2,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.73 : 3,723.38 = 1,518.80 : x
  2. Step 2: Convert to fraction form
    2,697.73/3,723.38 = 1,518.80/x
  3. Step 3: Cross multiply
    2,697.73x = 3,723.38 × 1,518.80
  4. Step 4: Simplify right side
    2,697.73x = 5,655,069.54
  5. Step 5: Solve for x
    x = 5,655,069.54/2,697.73
  6. Step 6: Final answer
    x = 2,096.23

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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.