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Finding the Fourth Proportional to 1,833.36, 2,751.17 and 737.82

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Solution

The fourth proportional to 1,833.36, 2,751.17 and 737.82 is: 1,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.36 : 2,751.17 = 737.82 : x
  2. Step 2: Convert to fraction form
    1,833.36/2,751.17 = 737.82/x
  3. Step 3: Cross multiply
    1,833.36x = 2,751.17 × 737.82
  4. Step 4: Simplify right side
    1,833.36x = 2,029,864.56
  5. Step 5: Solve for x
    x = 2,029,864.56/1,833.36
  6. Step 6: Final answer
    x = 1,107.18

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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.