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Finding the Fourth Proportional to 2,489.89, 3,732.23 and 929.27

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Solution

The fourth proportional to 2,489.89, 3,732.23 and 929.27 is: 1,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.89 : 3,732.23 = 929.27 : x
  2. Step 2: Convert to fraction form
    2,489.89/3,732.23 = 929.27/x
  3. Step 3: Cross multiply
    2,489.89x = 3,732.23 × 929.27
  4. Step 4: Simplify right side
    2,489.89x = 3,468,249.37
  5. Step 5: Solve for x
    x = 3,468,249.37/2,489.89
  6. Step 6: Final answer
    x = 1,392.93

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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.