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Finding the Fourth Proportional to 2,625.76, 3,937.42 and 982.27

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Solution

The fourth proportional to 2,625.76, 3,937.42 and 982.27 is: 1,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.76 : 3,937.42 = 982.27 : x
  2. Step 2: Convert to fraction form
    2,625.76/3,937.42 = 982.27/x
  3. Step 3: Cross multiply
    2,625.76x = 3,937.42 × 982.27
  4. Step 4: Simplify right side
    2,625.76x = 3,867,609.54
  5. Step 5: Solve for x
    x = 3,867,609.54/2,625.76
  6. Step 6: Final answer
    x = 1,472.95

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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.