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Finding the Fourth Proportional to 2,723.76, 3,759 and 1,544.88

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Solution

The fourth proportional to 2,723.76, 3,759 and 1,544.88 is: 2,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.76 : 3,759 = 1,544.88 : x
  2. Step 2: Convert to fraction form
    2,723.76/3,759 = 1,544.88/x
  3. Step 3: Cross multiply
    2,723.76x = 3,759 × 1,544.88
  4. Step 4: Simplify right side
    2,723.76x = 5,807,203.92
  5. Step 5: Solve for x
    x = 5,807,203.92/2,723.76
  6. Step 6: Final answer
    x = 2,132.05

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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.