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Finding the Fourth Proportional to 2,986.91, 4,118.62 and 2,042.86

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Solution

The fourth proportional to 2,986.91, 4,118.62 and 2,042.86 is: 2,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.91 : 4,118.62 = 2,042.86 : x
  2. Step 2: Convert to fraction form
    2,986.91/4,118.62 = 2,042.86/x
  3. Step 3: Cross multiply
    2,986.91x = 4,118.62 × 2,042.86
  4. Step 4: Simplify right side
    2,986.91x = 8,413,764.05
  5. Step 5: Solve for x
    x = 8,413,764.05/2,986.91
  6. Step 6: Final answer
    x = 2,816.88

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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.