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Finding the Fourth Proportional to 3,169.82, 4,754.66 and 861.32

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Solution

The fourth proportional to 3,169.82, 4,754.66 and 861.32 is: 1,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.82 : 4,754.66 = 861.32 : x
  2. Step 2: Convert to fraction form
    3,169.82/4,754.66 = 861.32/x
  3. Step 3: Cross multiply
    3,169.82x = 4,754.66 × 861.32
  4. Step 4: Simplify right side
    3,169.82x = 4,095,255.67
  5. Step 5: Solve for x
    x = 4,095,255.67/3,169.82
  6. Step 6: Final answer
    x = 1,291.95

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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.