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Finding the Fourth Proportional to 2,431.86, 3,644.14 and 1,456.82

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Solution

The fourth proportional to 2,431.86, 3,644.14 and 1,456.82 is: 2,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.86 : 3,644.14 = 1,456.82 : x
  2. Step 2: Convert to fraction form
    2,431.86/3,644.14 = 1,456.82/x
  3. Step 3: Cross multiply
    2,431.86x = 3,644.14 × 1,456.82
  4. Step 4: Simplify right side
    2,431.86x = 5,308,856.03
  5. Step 5: Solve for x
    x = 5,308,856.03/2,431.86
  6. Step 6: Final answer
    x = 2,183.04

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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.