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Finding the Fourth Proportional to 1,825.04, 2,738.10 and 728.80

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Solution

The fourth proportional to 1,825.04, 2,738.10 and 728.80 is: 1,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.04 : 2,738.10 = 728.80 : x
  2. Step 2: Convert to fraction form
    1,825.04/2,738.10 = 728.80/x
  3. Step 3: Cross multiply
    1,825.04x = 2,738.10 × 728.80
  4. Step 4: Simplify right side
    1,825.04x = 1,995,527.28
  5. Step 5: Solve for x
    x = 1,995,527.28/1,825.04
  6. Step 6: Final answer
    x = 1,093.42

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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.