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Finding the Fourth Proportional to 2,997.38, 4,496.73 and 917.67

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Solution

The fourth proportional to 2,997.38, 4,496.73 and 917.67 is: 1,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.38 : 4,496.73 = 917.67 : x
  2. Step 2: Convert to fraction form
    2,997.38/4,496.73 = 917.67/x
  3. Step 3: Cross multiply
    2,997.38x = 4,496.73 × 917.67
  4. Step 4: Simplify right side
    2,997.38x = 4,126,514.22
  5. Step 5: Solve for x
    x = 4,126,514.22/2,997.38
  6. Step 6: Final answer
    x = 1,376.71

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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.