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Finding the Fourth Proportional to 1,833.46, 2,749.08 and 721.54

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Solution

The fourth proportional to 1,833.46, 2,749.08 and 721.54 is: 1,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.46 : 2,749.08 = 721.54 : x
  2. Step 2: Convert to fraction form
    1,833.46/2,749.08 = 721.54/x
  3. Step 3: Cross multiply
    1,833.46x = 2,749.08 × 721.54
  4. Step 4: Simplify right side
    1,833.46x = 1,983,571.18
  5. Step 5: Solve for x
    x = 1,983,571.18/1,833.46
  6. Step 6: Final answer
    x = 1,081.87

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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.