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Finding the Fourth Proportional to 2,329.34, 3,493.62 and 769.37

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Solution

The fourth proportional to 2,329.34, 3,493.62 and 769.37 is: 1,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.34 : 3,493.62 = 769.37 : x
  2. Step 2: Convert to fraction form
    2,329.34/3,493.62 = 769.37/x
  3. Step 3: Cross multiply
    2,329.34x = 3,493.62 × 769.37
  4. Step 4: Simplify right side
    2,329.34x = 2,687,868.95
  5. Step 5: Solve for x
    x = 2,687,868.95/2,329.34
  6. Step 6: Final answer
    x = 1,153.92

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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.