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Finding the Fourth Proportional to 2,527.86, 3,791.25 and 795.54

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Solution

The fourth proportional to 2,527.86, 3,791.25 and 795.54 is: 1,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.86 : 3,791.25 = 795.54 : x
  2. Step 2: Convert to fraction form
    2,527.86/3,791.25 = 795.54/x
  3. Step 3: Cross multiply
    2,527.86x = 3,791.25 × 795.54
  4. Step 4: Simplify right side
    2,527.86x = 3,016,091.03
  5. Step 5: Solve for x
    x = 3,016,091.03/2,527.86
  6. Step 6: Final answer
    x = 1,193.14

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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.