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Finding the Fourth Proportional to 2,769.72, 3,822.04 and 1,589.96

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Solution

The fourth proportional to 2,769.72, 3,822.04 and 1,589.96 is: 2,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.72 : 3,822.04 = 1,589.96 : x
  2. Step 2: Convert to fraction form
    2,769.72/3,822.04 = 1,589.96/x
  3. Step 3: Cross multiply
    2,769.72x = 3,822.04 × 1,589.96
  4. Step 4: Simplify right side
    2,769.72x = 6,076,890.72
  5. Step 5: Solve for x
    x = 6,076,890.72/2,769.72
  6. Step 6: Final answer
    x = 2,194.05

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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.