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Finding the Fourth Proportional to 2,382.28, 3,573.45 and 738.82

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Solution

The fourth proportional to 2,382.28, 3,573.45 and 738.82 is: 1,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.28 : 3,573.45 = 738.82 : x
  2. Step 2: Convert to fraction form
    2,382.28/3,573.45 = 738.82/x
  3. Step 3: Cross multiply
    2,382.28x = 3,573.45 × 738.82
  4. Step 4: Simplify right side
    2,382.28x = 2,640,136.33
  5. Step 5: Solve for x
    x = 2,640,136.33/2,382.28
  6. Step 6: Final answer
    x = 1,108.24

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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.