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Finding the Fourth Proportional to 2,238.43, 3,357.84 and 921.88

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Solution

The fourth proportional to 2,238.43, 3,357.84 and 921.88 is: 1,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.43 : 3,357.84 = 921.88 : x
  2. Step 2: Convert to fraction form
    2,238.43/3,357.84 = 921.88/x
  3. Step 3: Cross multiply
    2,238.43x = 3,357.84 × 921.88
  4. Step 4: Simplify right side
    2,238.43x = 3,095,525.54
  5. Step 5: Solve for x
    x = 3,095,525.54/2,238.43
  6. Step 6: Final answer
    x = 1,382.90

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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.