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Finding the Fourth Proportional to 1,202.82, 1,794.10 and 1,096.72

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Solution

The fourth proportional to 1,202.82, 1,794.10 and 1,096.72 is: 1,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.82 : 1,794.10 = 1,096.72 : x
  2. Step 2: Convert to fraction form
    1,202.82/1,794.10 = 1,096.72/x
  3. Step 3: Cross multiply
    1,202.82x = 1,794.10 × 1,096.72
  4. Step 4: Simplify right side
    1,202.82x = 1,967,625.35
  5. Step 5: Solve for x
    x = 1,967,625.35/1,202.82
  6. Step 6: Final answer
    x = 1,635.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.