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Finding the Fourth Proportional to 2,099.28, 3,147.02 and 1,276.32

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Solution

The fourth proportional to 2,099.28, 3,147.02 and 1,276.32 is: 1,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.28 : 3,147.02 = 1,276.32 : x
  2. Step 2: Convert to fraction form
    2,099.28/3,147.02 = 1,276.32/x
  3. Step 3: Cross multiply
    2,099.28x = 3,147.02 × 1,276.32
  4. Step 4: Simplify right side
    2,099.28x = 4,016,604.57
  5. Step 5: Solve for x
    x = 4,016,604.57/2,099.28
  6. Step 6: Final answer
    x = 1,913.32

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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.