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Finding the Fourth Proportional to 2,828.56, 4,243.04 and 748.55

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Solution

The fourth proportional to 2,828.56, 4,243.04 and 748.55 is: 1,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.56 : 4,243.04 = 748.55 : x
  2. Step 2: Convert to fraction form
    2,828.56/4,243.04 = 748.55/x
  3. Step 3: Cross multiply
    2,828.56x = 4,243.04 × 748.55
  4. Step 4: Simplify right side
    2,828.56x = 3,176,127.59
  5. Step 5: Solve for x
    x = 3,176,127.59/2,828.56
  6. Step 6: Final answer
    x = 1,122.88

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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.