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Finding the Fourth Proportional to 2,741.92, 4,114.28 and 1,099.60

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Solution

The fourth proportional to 2,741.92, 4,114.28 and 1,099.60 is: 1,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.92 : 4,114.28 = 1,099.60 : x
  2. Step 2: Convert to fraction form
    2,741.92/4,114.28 = 1,099.60/x
  3. Step 3: Cross multiply
    2,741.92x = 4,114.28 × 1,099.60
  4. Step 4: Simplify right side
    2,741.92x = 4,524,062.29
  5. Step 5: Solve for x
    x = 4,524,062.29/2,741.92
  6. Step 6: Final answer
    x = 1,649.96

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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.