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Finding the Fourth Proportional to 2,329.56, 3,493.94 and 868.73

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Solution

The fourth proportional to 2,329.56, 3,493.94 and 868.73 is: 1,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.56 : 3,493.94 = 868.73 : x
  2. Step 2: Convert to fraction form
    2,329.56/3,493.94 = 868.73/x
  3. Step 3: Cross multiply
    2,329.56x = 3,493.94 × 868.73
  4. Step 4: Simplify right side
    2,329.56x = 3,035,268.68
  5. Step 5: Solve for x
    x = 3,035,268.68/2,329.56
  6. Step 6: Final answer
    x = 1,302.94

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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.