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Finding the Fourth Proportional to 2,769.81, 3,827.19 and 2,214.86

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Solution

The fourth proportional to 2,769.81, 3,827.19 and 2,214.86 is: 3,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.81 : 3,827.19 = 2,214.86 : x
  2. Step 2: Convert to fraction form
    2,769.81/3,827.19 = 2,214.86/x
  3. Step 3: Cross multiply
    2,769.81x = 3,827.19 × 2,214.86
  4. Step 4: Simplify right side
    2,769.81x = 8,476,670.91
  5. Step 5: Solve for x
    x = 8,476,670.91/2,769.81
  6. Step 6: Final answer
    x = 3,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.