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Finding the Fourth Proportional to 2,768.32, 4,153.12 and 820.72

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Solution

The fourth proportional to 2,768.32, 4,153.12 and 820.72 is: 1,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.32 : 4,153.12 = 820.72 : x
  2. Step 2: Convert to fraction form
    2,768.32/4,153.12 = 820.72/x
  3. Step 3: Cross multiply
    2,768.32x = 4,153.12 × 820.72
  4. Step 4: Simplify right side
    2,768.32x = 3,408,548.65
  5. Step 5: Solve for x
    x = 3,408,548.65/2,768.32
  6. Step 6: Final answer
    x = 1,231.27

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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.