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Finding the Fourth Proportional to 1,912.43, 2,868.84 and 1,671.86

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Solution

The fourth proportional to 1,912.43, 2,868.84 and 1,671.86 is: 2,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.43 : 2,868.84 = 1,671.86 : x
  2. Step 2: Convert to fraction form
    1,912.43/2,868.84 = 1,671.86/x
  3. Step 3: Cross multiply
    1,912.43x = 2,868.84 × 1,671.86
  4. Step 4: Simplify right side
    1,912.43x = 4,796,284.50
  5. Step 5: Solve for x
    x = 4,796,284.50/1,912.43
  6. Step 6: Final answer
    x = 2,507.96

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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.