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Finding the Fourth Proportional to 2,250.06, 3,375.28 and 769.22

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Solution

The fourth proportional to 2,250.06, 3,375.28 and 769.22 is: 1,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.06 : 3,375.28 = 769.22 : x
  2. Step 2: Convert to fraction form
    2,250.06/3,375.28 = 769.22/x
  3. Step 3: Cross multiply
    2,250.06x = 3,375.28 × 769.22
  4. Step 4: Simplify right side
    2,250.06x = 2,596,329.62
  5. Step 5: Solve for x
    x = 2,596,329.62/2,250.06
  6. Step 6: Final answer
    x = 1,153.90

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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.