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Finding the Fourth Proportional to 3,099.90, 4,649.34 and 1,125.44

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Solution

The fourth proportional to 3,099.90, 4,649.34 and 1,125.44 is: 1,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.90 : 4,649.34 = 1,125.44 : x
  2. Step 2: Convert to fraction form
    3,099.90/4,649.34 = 1,125.44/x
  3. Step 3: Cross multiply
    3,099.90x = 4,649.34 × 1,125.44
  4. Step 4: Simplify right side
    3,099.90x = 5,232,553.21
  5. Step 5: Solve for x
    x = 5,232,553.21/3,099.90
  6. Step 6: Final answer
    x = 1,687.97

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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.