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Finding the Fourth Proportional to 2,157.27, 3,234.60 and 770.35

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Solution

The fourth proportional to 2,157.27, 3,234.60 and 770.35 is: 1,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.27 : 3,234.60 = 770.35 : x
  2. Step 2: Convert to fraction form
    2,157.27/3,234.60 = 770.35/x
  3. Step 3: Cross multiply
    2,157.27x = 3,234.60 × 770.35
  4. Step 4: Simplify right side
    2,157.27x = 2,491,766.02
  5. Step 5: Solve for x
    x = 2,491,766.02/2,157.27
  6. Step 6: Final answer
    x = 1,155.06

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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.