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Finding the Fourth Proportional to 2,992.36, 4,489.83 and 1,432.41

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Solution

The fourth proportional to 2,992.36, 4,489.83 and 1,432.41 is: 2,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.36 : 4,489.83 = 1,432.41 : x
  2. Step 2: Convert to fraction form
    2,992.36/4,489.83 = 1,432.41/x
  3. Step 3: Cross multiply
    2,992.36x = 4,489.83 × 1,432.41
  4. Step 4: Simplify right side
    2,992.36x = 6,431,277.39
  5. Step 5: Solve for x
    x = 6,431,277.39/2,992.36
  6. Step 6: Final answer
    x = 2,149.23

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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.