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Finding the Fourth Proportional to 2,997.11, 4,496.19 and 917.07

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Solution

The fourth proportional to 2,997.11, 4,496.19 and 917.07 is: 1,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.11 : 4,496.19 = 917.07 : x
  2. Step 2: Convert to fraction form
    2,997.11/4,496.19 = 917.07/x
  3. Step 3: Cross multiply
    2,997.11x = 4,496.19 × 917.07
  4. Step 4: Simplify right side
    2,997.11x = 4,123,293.90
  5. Step 5: Solve for x
    x = 4,123,293.90/2,997.11
  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.