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Finding the Fourth Proportional to 3,109.20, 4,662.72 and 917.34

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Solution

The fourth proportional to 3,109.20, 4,662.72 and 917.34 is: 1,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.20 : 4,662.72 = 917.34 : x
  2. Step 2: Convert to fraction form
    3,109.20/4,662.72 = 917.34/x
  3. Step 3: Cross multiply
    3,109.20x = 4,662.72 × 917.34
  4. Step 4: Simplify right side
    3,109.20x = 4,277,299.56
  5. Step 5: Solve for x
    x = 4,277,299.56/3,109.20
  6. Step 6: Final answer
    x = 1,375.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.