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Finding the Fourth Proportional to 2,558.98, 3,832.17 and 1,631.80

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Solution

The fourth proportional to 2,558.98, 3,832.17 and 1,631.80 is: 2,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.98 : 3,832.17 = 1,631.80 : x
  2. Step 2: Convert to fraction form
    2,558.98/3,832.17 = 1,631.80/x
  3. Step 3: Cross multiply
    2,558.98x = 3,832.17 × 1,631.80
  4. Step 4: Simplify right side
    2,558.98x = 6,253,335.01
  5. Step 5: Solve for x
    x = 6,253,335.01/2,558.98
  6. Step 6: Final answer
    x = 2,443.68

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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.