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Finding the Fourth Proportional to 1,827.28, 2,740.72 and 731.36

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Solution

The fourth proportional to 1,827.28, 2,740.72 and 731.36 is: 1,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.28 : 2,740.72 = 731.36 : x
  2. Step 2: Convert to fraction form
    1,827.28/2,740.72 = 731.36/x
  3. Step 3: Cross multiply
    1,827.28x = 2,740.72 × 731.36
  4. Step 4: Simplify right side
    1,827.28x = 2,004,452.98
  5. Step 5: Solve for x
    x = 2,004,452.98/1,827.28
  6. Step 6: Final answer
    x = 1,096.96

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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.