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Finding the Fourth Proportional to 2,329.97, 3,214.98 and 1,491.41

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Solution

The fourth proportional to 2,329.97, 3,214.98 and 1,491.41 is: 2,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.97 : 3,214.98 = 1,491.41 : x
  2. Step 2: Convert to fraction form
    2,329.97/3,214.98 = 1,491.41/x
  3. Step 3: Cross multiply
    2,329.97x = 3,214.98 × 1,491.41
  4. Step 4: Simplify right side
    2,329.97x = 4,794,861.36
  5. Step 5: Solve for x
    x = 4,794,861.36/2,329.97
  6. Step 6: Final answer
    x = 2,057.91

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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.