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Finding the Fourth Proportional to 2,233.99, 3,348.91 and 2,049.46

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Solution

The fourth proportional to 2,233.99, 3,348.91 and 2,049.46 is: 3,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.99 : 3,348.91 = 2,049.46 : x
  2. Step 2: Convert to fraction form
    2,233.99/3,348.91 = 2,049.46/x
  3. Step 3: Cross multiply
    2,233.99x = 3,348.91 × 2,049.46
  4. Step 4: Simplify right side
    2,233.99x = 6,863,457.09
  5. Step 5: Solve for x
    x = 6,863,457.09/2,233.99
  6. Step 6: Final answer
    x = 3,072.29

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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.