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Finding the Fourth Proportional to 2,891.49, 4,337.02 and 811.41

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Solution

The fourth proportional to 2,891.49, 4,337.02 and 811.41 is: 1,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.49 : 4,337.02 = 811.41 : x
  2. Step 2: Convert to fraction form
    2,891.49/4,337.02 = 811.41/x
  3. Step 3: Cross multiply
    2,891.49x = 4,337.02 × 811.41
  4. Step 4: Simplify right side
    2,891.49x = 3,519,110.05
  5. Step 5: Solve for x
    x = 3,519,110.05/2,891.49
  6. Step 6: Final answer
    x = 1,217.06

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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.