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Finding the Fourth Proportional to 6,151.44, 9,228.70 and 1,768.90

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Solution

The fourth proportional to 6,151.44, 9,228.70 and 1,768.90 is: 2,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.44 : 9,228.70 = 1,768.90 : x
  2. Step 2: Convert to fraction form
    6,151.44/9,228.70 = 1,768.90/x
  3. Step 3: Cross multiply
    6,151.44x = 9,228.70 × 1,768.90
  4. Step 4: Simplify right side
    6,151.44x = 16,324,592.44
  5. Step 5: Solve for x
    x = 16,324,592.44/6,151.44
  6. Step 6: Final answer
    x = 2,653.78

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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.