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Finding the Fourth Proportional to 2,986.29, 4,120.91 and 1,659.91

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Solution

The fourth proportional to 2,986.29, 4,120.91 and 1,659.91 is: 2,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.29 : 4,120.91 = 1,659.91 : x
  2. Step 2: Convert to fraction form
    2,986.29/4,120.91 = 1,659.91/x
  3. Step 3: Cross multiply
    2,986.29x = 4,120.91 × 1,659.91
  4. Step 4: Simplify right side
    2,986.29x = 6,840,310.81
  5. Step 5: Solve for x
    x = 6,840,310.81/2,986.29
  6. Step 6: Final answer
    x = 2,290.57

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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.