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Finding the Fourth Proportional to 3,226, 4,841.14 and 1,766.18

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Solution

The fourth proportional to 3,226, 4,841.14 and 1,766.18 is: 2,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226 : 4,841.14 = 1,766.18 : x
  2. Step 2: Convert to fraction form
    3,226/4,841.14 = 1,766.18/x
  3. Step 3: Cross multiply
    3,226x = 4,841.14 × 1,766.18
  4. Step 4: Simplify right side
    3,226x = 8,550,324.65
  5. Step 5: Solve for x
    x = 8,550,324.65/3,226
  6. Step 6: Final answer
    x = 2,650.44

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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.