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Finding the Fourth Proportional to 2,106.92, 2,912.88 and 2,015.12

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Solution

The fourth proportional to 2,106.92, 2,912.88 and 2,015.12 is: 2,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.92 : 2,912.88 = 2,015.12 : x
  2. Step 2: Convert to fraction form
    2,106.92/2,912.88 = 2,015.12/x
  3. Step 3: Cross multiply
    2,106.92x = 2,912.88 × 2,015.12
  4. Step 4: Simplify right side
    2,106.92x = 5,869,802.75
  5. Step 5: Solve for x
    x = 5,869,802.75/2,106.92
  6. Step 6: Final answer
    x = 2,785.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.