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Finding the Fourth Proportional to 1,825.28, 2,738.84 and 730.42

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Solution

The fourth proportional to 1,825.28, 2,738.84 and 730.42 is: 1,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.28 : 2,738.84 = 730.42 : x
  2. Step 2: Convert to fraction form
    1,825.28/2,738.84 = 730.42/x
  3. Step 3: Cross multiply
    1,825.28x = 2,738.84 × 730.42
  4. Step 4: Simplify right side
    1,825.28x = 2,000,503.51
  5. Step 5: Solve for x
    x = 2,000,503.51/1,825.28
  6. Step 6: Final answer
    x = 1,096.00

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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.