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Finding the Fourth Proportional to 2,086.15, 3,128.09 and 914.78

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Solution

The fourth proportional to 2,086.15, 3,128.09 and 914.78 is: 1,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.15 : 3,128.09 = 914.78 : x
  2. Step 2: Convert to fraction form
    2,086.15/3,128.09 = 914.78/x
  3. Step 3: Cross multiply
    2,086.15x = 3,128.09 × 914.78
  4. Step 4: Simplify right side
    2,086.15x = 2,861,520.74
  5. Step 5: Solve for x
    x = 2,861,520.74/2,086.15
  6. Step 6: Final answer
    x = 1,371.68

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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.