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Finding the Fourth Proportional to 1,842.57, 2,759.81 and 1,191.33

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Solution

The fourth proportional to 1,842.57, 2,759.81 and 1,191.33 is: 1,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.57 : 2,759.81 = 1,191.33 : x
  2. Step 2: Convert to fraction form
    1,842.57/2,759.81 = 1,191.33/x
  3. Step 3: Cross multiply
    1,842.57x = 2,759.81 × 1,191.33
  4. Step 4: Simplify right side
    1,842.57x = 3,287,838.49
  5. Step 5: Solve for x
    x = 3,287,838.49/1,842.57
  6. Step 6: Final answer
    x = 1,784.38

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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.