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Finding the Fourth Proportional to 3,164.22, 4,366.58 and 1,766.96

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Solution

The fourth proportional to 3,164.22, 4,366.58 and 1,766.96 is: 2,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.22 : 4,366.58 = 1,766.96 : x
  2. Step 2: Convert to fraction form
    3,164.22/4,366.58 = 1,766.96/x
  3. Step 3: Cross multiply
    3,164.22x = 4,366.58 × 1,766.96
  4. Step 4: Simplify right side
    3,164.22x = 7,715,572.20
  5. Step 5: Solve for x
    x = 7,715,572.20/3,164.22
  6. Step 6: Final answer
    x = 2,438.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.