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Finding the Fourth Proportional to 2,048.34, 3,069.84 and 748.56

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Solution

The fourth proportional to 2,048.34, 3,069.84 and 748.56 is: 1,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.34 : 3,069.84 = 748.56 : x
  2. Step 2: Convert to fraction form
    2,048.34/3,069.84 = 748.56/x
  3. Step 3: Cross multiply
    2,048.34x = 3,069.84 × 748.56
  4. Step 4: Simplify right side
    2,048.34x = 2,297,959.43
  5. Step 5: Solve for x
    x = 2,297,959.43/2,048.34
  6. Step 6: Final answer
    x = 1,121.86

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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.