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Finding the Fourth Proportional to 3,108.24, 4,661.96 and 917.20

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Solution

The fourth proportional to 3,108.24, 4,661.96 and 917.20 is: 1,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.24 : 4,661.96 = 917.20 : x
  2. Step 2: Convert to fraction form
    3,108.24/4,661.96 = 917.20/x
  3. Step 3: Cross multiply
    3,108.24x = 4,661.96 × 917.20
  4. Step 4: Simplify right side
    3,108.24x = 4,275,949.71
  5. Step 5: Solve for x
    x = 4,275,949.71/3,108.24
  6. Step 6: Final answer
    x = 1,375.68

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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.