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Finding the Fourth Proportional to 2,601.65, 3,898.67 and 1,546.43

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Solution

The fourth proportional to 2,601.65, 3,898.67 and 1,546.43 is: 2,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.65 : 3,898.67 = 1,546.43 : x
  2. Step 2: Convert to fraction form
    2,601.65/3,898.67 = 1,546.43/x
  3. Step 3: Cross multiply
    2,601.65x = 3,898.67 × 1,546.43
  4. Step 4: Simplify right side
    2,601.65x = 6,028,993.02
  5. Step 5: Solve for x
    x = 6,028,993.02/2,601.65
  6. Step 6: Final answer
    x = 2,317.37

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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.