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Finding the Fourth Proportional to 2,231.82, 3,347.82 and 933.12

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Solution

The fourth proportional to 2,231.82, 3,347.82 and 933.12 is: 1,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.82 : 3,347.82 = 933.12 : x
  2. Step 2: Convert to fraction form
    2,231.82/3,347.82 = 933.12/x
  3. Step 3: Cross multiply
    2,231.82x = 3,347.82 × 933.12
  4. Step 4: Simplify right side
    2,231.82x = 3,123,917.80
  5. Step 5: Solve for x
    x = 3,123,917.80/2,231.82
  6. Step 6: Final answer
    x = 1,399.72

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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.