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Finding the Fourth Proportional to 2,329.67, 3,216.41 and 1,446.41

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Solution

The fourth proportional to 2,329.67, 3,216.41 and 1,446.41 is: 1,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.67 : 3,216.41 = 1,446.41 : x
  2. Step 2: Convert to fraction form
    2,329.67/3,216.41 = 1,446.41/x
  3. Step 3: Cross multiply
    2,329.67x = 3,216.41 × 1,446.41
  4. Step 4: Simplify right side
    2,329.67x = 4,652,235.12
  5. Step 5: Solve for x
    x = 4,652,235.12/2,329.67
  6. Step 6: Final answer
    x = 1,996.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.