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Finding the Fourth Proportional to 1,727.66, 2,382.67 and 1,195.61

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Solution

The fourth proportional to 1,727.66, 2,382.67 and 1,195.61 is: 1,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.66 : 2,382.67 = 1,195.61 : x
  2. Step 2: Convert to fraction form
    1,727.66/2,382.67 = 1,195.61/x
  3. Step 3: Cross multiply
    1,727.66x = 2,382.67 × 1,195.61
  4. Step 4: Simplify right side
    1,727.66x = 2,848,740.34
  5. Step 5: Solve for x
    x = 2,848,740.34/1,727.66
  6. Step 6: Final answer
    x = 1,648.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.