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Finding the Fourth Proportional to 3,099.12, 4,649.11 and 1,638.38

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Solution

The fourth proportional to 3,099.12, 4,649.11 and 1,638.38 is: 2,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.12 : 4,649.11 = 1,638.38 : x
  2. Step 2: Convert to fraction form
    3,099.12/4,649.11 = 1,638.38/x
  3. Step 3: Cross multiply
    3,099.12x = 4,649.11 × 1,638.38
  4. Step 4: Simplify right side
    3,099.12x = 7,616,985.60
  5. Step 5: Solve for x
    x = 7,616,985.60/3,099.12
  6. Step 6: Final answer
    x = 2,457.79

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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.