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Finding the Fourth Proportional to 1,794.62, 2,691.20 and 561.65

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Solution

The fourth proportional to 1,794.62, 2,691.20 and 561.65 is: 842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.62 : 2,691.20 = 561.65 : x
  2. Step 2: Convert to fraction form
    1,794.62/2,691.20 = 561.65/x
  3. Step 3: Cross multiply
    1,794.62x = 2,691.20 × 561.65
  4. Step 4: Simplify right side
    1,794.62x = 1,511,500.43
  5. Step 5: Solve for x
    x = 1,511,500.43/1,794.62
  6. Step 6: Final answer
    x = 842.24

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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.