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Finding the Fourth Proportional to 2,723, 3,757.68 and 1,544.20

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Solution

The fourth proportional to 2,723, 3,757.68 and 1,544.20 is: 2,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723 : 3,757.68 = 1,544.20 : x
  2. Step 2: Convert to fraction form
    2,723/3,757.68 = 1,544.20/x
  3. Step 3: Cross multiply
    2,723x = 3,757.68 × 1,544.20
  4. Step 4: Simplify right side
    2,723x = 5,802,609.46
  5. Step 5: Solve for x
    x = 5,802,609.46/2,723
  6. Step 6: Final answer
    x = 2,130.96

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