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Finding the Fourth Proportional to 2,231.53, 3,348.83 and 770.69

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Solution

The fourth proportional to 2,231.53, 3,348.83 and 770.69 is: 1,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.53 : 3,348.83 = 770.69 : x
  2. Step 2: Convert to fraction form
    2,231.53/3,348.83 = 770.69/x
  3. Step 3: Cross multiply
    2,231.53x = 3,348.83 × 770.69
  4. Step 4: Simplify right side
    2,231.53x = 2,580,893.05
  5. Step 5: Solve for x
    x = 2,580,893.05/2,231.53
  6. Step 6: Final answer
    x = 1,156.56

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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.