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Finding the Fourth Proportional to 3,099.22, 4,649.14 and 1,343.88

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Solution

The fourth proportional to 3,099.22, 4,649.14 and 1,343.88 is: 2,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.22 : 4,649.14 = 1,343.88 : x
  2. Step 2: Convert to fraction form
    3,099.22/4,649.14 = 1,343.88/x
  3. Step 3: Cross multiply
    3,099.22x = 4,649.14 × 1,343.88
  4. Step 4: Simplify right side
    3,099.22x = 6,247,886.26
  5. Step 5: Solve for x
    x = 6,247,886.26/3,099.22
  6. Step 6: Final answer
    x = 2,015.95

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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.