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Finding the Fourth Proportional to 1,190.94, 1,772.00 and 1,161.18

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Solution

The fourth proportional to 1,190.94, 1,772.00 and 1,161.18 is: 1,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.94 : 1,772.00 = 1,161.18 : x
  2. Step 2: Convert to fraction form
    1,190.94/1,772.00 = 1,161.18/x
  3. Step 3: Cross multiply
    1,190.94x = 1,772.00 × 1,161.18
  4. Step 4: Simplify right side
    1,190.94x = 2,057,605.15
  5. Step 5: Solve for x
    x = 2,057,605.15/1,190.94
  6. Step 6: Final answer
    x = 1,727.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.