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Finding the Fourth Proportional to 2,066.85, 2,843.79 and 1,786.19

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Solution

The fourth proportional to 2,066.85, 2,843.79 and 1,786.19 is: 2,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.85 : 2,843.79 = 1,786.19 : x
  2. Step 2: Convert to fraction form
    2,066.85/2,843.79 = 1,786.19/x
  3. Step 3: Cross multiply
    2,066.85x = 2,843.79 × 1,786.19
  4. Step 4: Simplify right side
    2,066.85x = 5,079,535.04
  5. Step 5: Solve for x
    x = 5,079,535.04/2,066.85
  6. Step 6: Final answer
    x = 2,457.62

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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.