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Finding the Fourth Proportional to 1,945.25, 2,919.09 and 791

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Solution

The fourth proportional to 1,945.25, 2,919.09 and 791 is: 1,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.25 : 2,919.09 = 791 : x
  2. Step 2: Convert to fraction form
    1,945.25/2,919.09 = 791/x
  3. Step 3: Cross multiply
    1,945.25x = 2,919.09 × 791
  4. Step 4: Simplify right side
    1,945.25x = 2,309,000.19
  5. Step 5: Solve for x
    x = 2,309,000.19/1,945.25
  6. Step 6: Final answer
    x = 1,186.99

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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.