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Finding the Fourth Proportional to 3,146.72, 4,718.25 and 1,832.09

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Solution

The fourth proportional to 3,146.72, 4,718.25 and 1,832.09 is: 2,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.72 : 4,718.25 = 1,832.09 : x
  2. Step 2: Convert to fraction form
    3,146.72/4,718.25 = 1,832.09/x
  3. Step 3: Cross multiply
    3,146.72x = 4,718.25 × 1,832.09
  4. Step 4: Simplify right side
    3,146.72x = 8,644,235.05
  5. Step 5: Solve for x
    x = 8,644,235.05/3,146.72
  6. Step 6: Final answer
    x = 2,747.07

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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.