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Finding the Fourth Proportional to 2,299.66, 3,447.54 and 1,049.80

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Solution

The fourth proportional to 2,299.66, 3,447.54 and 1,049.80 is: 1,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.66 : 3,447.54 = 1,049.80 : x
  2. Step 2: Convert to fraction form
    2,299.66/3,447.54 = 1,049.80/x
  3. Step 3: Cross multiply
    2,299.66x = 3,447.54 × 1,049.80
  4. Step 4: Simplify right side
    2,299.66x = 3,619,227.49
  5. Step 5: Solve for x
    x = 3,619,227.49/2,299.66
  6. Step 6: Final answer
    x = 1,573.81

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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.