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Finding the Fourth Proportional to 2,769.28, 3,821.64 and 1,527.28

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Solution

The fourth proportional to 2,769.28, 3,821.64 and 1,527.28 is: 2,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.28 : 3,821.64 = 1,527.28 : x
  2. Step 2: Convert to fraction form
    2,769.28/3,821.64 = 1,527.28/x
  3. Step 3: Cross multiply
    2,769.28x = 3,821.64 × 1,527.28
  4. Step 4: Simplify right side
    2,769.28x = 5,836,714.34
  5. Step 5: Solve for x
    x = 5,836,714.34/2,769.28
  6. Step 6: Final answer
    x = 2,107.66

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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.