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Finding the Fourth Proportional to 3,099.68, 4,649.49 and 1,369.52

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Solution

The fourth proportional to 3,099.68, 4,649.49 and 1,369.52 is: 2,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.68 : 4,649.49 = 1,369.52 : x
  2. Step 2: Convert to fraction form
    3,099.68/4,649.49 = 1,369.52/x
  3. Step 3: Cross multiply
    3,099.68x = 4,649.49 × 1,369.52
  4. Step 4: Simplify right side
    3,099.68x = 6,367,546.30
  5. Step 5: Solve for x
    x = 6,367,546.30/3,099.68
  6. Step 6: Final answer
    x = 2,054.26

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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.