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Finding the Fourth Proportional to 2,232.27, 3,349.31 and 998.84

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Solution

The fourth proportional to 2,232.27, 3,349.31 and 998.84 is: 1,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.27 : 3,349.31 = 998.84 : x
  2. Step 2: Convert to fraction form
    2,232.27/3,349.31 = 998.84/x
  3. Step 3: Cross multiply
    2,232.27x = 3,349.31 × 998.84
  4. Step 4: Simplify right side
    2,232.27x = 3,345,403.06
  5. Step 5: Solve for x
    x = 3,345,403.06/2,232.27
  6. Step 6: Final answer
    x = 1,498.66

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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.