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Finding the Fourth Proportional to 3,108.20, 4,662.45 and 917.15

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Solution

The fourth proportional to 3,108.20, 4,662.45 and 917.15 is: 1,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.20 : 4,662.45 = 917.15 : x
  2. Step 2: Convert to fraction form
    3,108.20/4,662.45 = 917.15/x
  3. Step 3: Cross multiply
    3,108.20x = 4,662.45 × 917.15
  4. Step 4: Simplify right side
    3,108.20x = 4,276,142.71
  5. Step 5: Solve for x
    x = 4,276,142.71/3,108.20
  6. Step 6: Final answer
    x = 1,375.76

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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.