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Finding the Fourth Proportional to 2,960.87, 4,086.79 and 1,842.26

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Solution

The fourth proportional to 2,960.87, 4,086.79 and 1,842.26 is: 2,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.87 : 4,086.79 = 1,842.26 : x
  2. Step 2: Convert to fraction form
    2,960.87/4,086.79 = 1,842.26/x
  3. Step 3: Cross multiply
    2,960.87x = 4,086.79 × 1,842.26
  4. Step 4: Simplify right side
    2,960.87x = 7,528,904.71
  5. Step 5: Solve for x
    x = 7,528,904.71/2,960.87
  6. Step 6: Final answer
    x = 2,542.81

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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.