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Finding the Fourth Proportional to 1,829.66, 2,744.46 and 733.23

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Solution

The fourth proportional to 1,829.66, 2,744.46 and 733.23 is: 1,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.66 : 2,744.46 = 733.23 : x
  2. Step 2: Convert to fraction form
    1,829.66/2,744.46 = 733.23/x
  3. Step 3: Cross multiply
    1,829.66x = 2,744.46 × 733.23
  4. Step 4: Simplify right side
    1,829.66x = 2,012,320.41
  5. Step 5: Solve for x
    x = 2,012,320.41/1,829.66
  6. Step 6: Final answer
    x = 1,099.84

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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.