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Finding the Fourth Proportional to 1,728.69, 2,383.70 and 1,168.19

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Solution

The fourth proportional to 1,728.69, 2,383.70 and 1,168.19 is: 1,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.69 : 2,383.70 = 1,168.19 : x
  2. Step 2: Convert to fraction form
    1,728.69/2,383.70 = 1,168.19/x
  3. Step 3: Cross multiply
    1,728.69x = 2,383.70 × 1,168.19
  4. Step 4: Simplify right side
    1,728.69x = 2,784,605.50
  5. Step 5: Solve for x
    x = 2,784,605.50/1,728.69
  6. Step 6: Final answer
    x = 1,610.82

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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.