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Finding the Fourth Proportional to 3,047.28, 4,570.92 and 1,224.56

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Solution

The fourth proportional to 3,047.28, 4,570.92 and 1,224.56 is: 1,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.28 : 4,570.92 = 1,224.56 : x
  2. Step 2: Convert to fraction form
    3,047.28/4,570.92 = 1,224.56/x
  3. Step 3: Cross multiply
    3,047.28x = 4,570.92 × 1,224.56
  4. Step 4: Simplify right side
    3,047.28x = 5,597,365.80
  5. Step 5: Solve for x
    x = 5,597,365.80/3,047.28
  6. Step 6: Final answer
    x = 1,836.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.