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Finding the Fourth Proportional to 2,156.56, 3,234.12 and 769.72

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Solution

The fourth proportional to 2,156.56, 3,234.12 and 769.72 is: 1,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.56 : 3,234.12 = 769.72 : x
  2. Step 2: Convert to fraction form
    2,156.56/3,234.12 = 769.72/x
  3. Step 3: Cross multiply
    2,156.56x = 3,234.12 × 769.72
  4. Step 4: Simplify right side
    2,156.56x = 2,489,366.85
  5. Step 5: Solve for x
    x = 2,489,366.85/2,156.56
  6. Step 6: Final answer
    x = 1,154.32

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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.