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Finding the Fourth Proportional to 2,723.71, 3,758.62 and 1,544.83

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Solution

The fourth proportional to 2,723.71, 3,758.62 and 1,544.83 is: 2,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.71 : 3,758.62 = 1,544.83 : x
  2. Step 2: Convert to fraction form
    2,723.71/3,758.62 = 1,544.83/x
  3. Step 3: Cross multiply
    2,723.71x = 3,758.62 × 1,544.83
  4. Step 4: Simplify right side
    2,723.71x = 5,806,428.93
  5. Step 5: Solve for x
    x = 5,806,428.93/2,723.71
  6. Step 6: Final answer
    x = 2,131.81

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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.