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Finding the Fourth Proportional to 1,833.73, 2,751.28 and 738.41

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Solution

The fourth proportional to 1,833.73, 2,751.28 and 738.41 is: 1,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.73 : 2,751.28 = 738.41 : x
  2. Step 2: Convert to fraction form
    1,833.73/2,751.28 = 738.41/x
  3. Step 3: Cross multiply
    1,833.73x = 2,751.28 × 738.41
  4. Step 4: Simplify right side
    1,833.73x = 2,031,557.06
  5. Step 5: Solve for x
    x = 2,031,557.06/1,833.73
  6. Step 6: Final answer
    x = 1,107.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.