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Finding the Fourth Proportional to 2,527.98, 3,791.84 and 968.73

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Solution

The fourth proportional to 2,527.98, 3,791.84 and 968.73 is: 1,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.98 : 3,791.84 = 968.73 : x
  2. Step 2: Convert to fraction form
    2,527.98/3,791.84 = 968.73/x
  3. Step 3: Cross multiply
    2,527.98x = 3,791.84 × 968.73
  4. Step 4: Simplify right side
    2,527.98x = 3,673,269.16
  5. Step 5: Solve for x
    x = 3,673,269.16/2,527.98
  6. Step 6: Final answer
    x = 1,453.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.