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Finding the Fourth Proportional to 2,685.96, 4,029.44 and 1,906.20

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Solution

The fourth proportional to 2,685.96, 4,029.44 and 1,906.20 is: 2,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.96 : 4,029.44 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    2,685.96/4,029.44 = 1,906.20/x
  3. Step 3: Cross multiply
    2,685.96x = 4,029.44 × 1,906.20
  4. Step 4: Simplify right side
    2,685.96x = 7,680,909.00
  5. Step 5: Solve for x
    x = 7,680,909.00/2,685.96
  6. Step 6: Final answer
    x = 2,859.65

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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.