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Finding the Fourth Proportional to 1,397.34, 2,096.02 and 819.54

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Solution

The fourth proportional to 1,397.34, 2,096.02 and 819.54 is: 1,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.34 : 2,096.02 = 819.54 : x
  2. Step 2: Convert to fraction form
    1,397.34/2,096.02 = 819.54/x
  3. Step 3: Cross multiply
    1,397.34x = 2,096.02 × 819.54
  4. Step 4: Simplify right side
    1,397.34x = 1,717,772.23
  5. Step 5: Solve for x
    x = 1,717,772.23/1,397.34
  6. Step 6: Final answer
    x = 1,229.32

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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.