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Finding the Fourth Proportional to 2,769.72, 3,822.21 and 1,527.72

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Solution

The fourth proportional to 2,769.72, 3,822.21 and 1,527.72 is: 2,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.72 : 3,822.21 = 1,527.72 : x
  2. Step 2: Convert to fraction form
    2,769.72/3,822.21 = 1,527.72/x
  3. Step 3: Cross multiply
    2,769.72x = 3,822.21 × 1,527.72
  4. Step 4: Simplify right side
    2,769.72x = 5,839,266.66
  5. Step 5: Solve for x
    x = 5,839,266.66/2,769.72
  6. Step 6: Final answer
    x = 2,108.25

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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.