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Finding the Fourth Proportional to 2,601.89, 3,900.64 and 1,214.49

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Solution

The fourth proportional to 2,601.89, 3,900.64 and 1,214.49 is: 1,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.89 : 3,900.64 = 1,214.49 : x
  2. Step 2: Convert to fraction form
    2,601.89/3,900.64 = 1,214.49/x
  3. Step 3: Cross multiply
    2,601.89x = 3,900.64 × 1,214.49
  4. Step 4: Simplify right side
    2,601.89x = 4,737,288.27
  5. Step 5: Solve for x
    x = 4,737,288.27/2,601.89
  6. Step 6: Final answer
    x = 1,820.71

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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.