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Finding the Fourth Proportional to 2,039.46, 3,057.05 and 854.18

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Solution

The fourth proportional to 2,039.46, 3,057.05 and 854.18 is: 1,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.46 : 3,057.05 = 854.18 : x
  2. Step 2: Convert to fraction form
    2,039.46/3,057.05 = 854.18/x
  3. Step 3: Cross multiply
    2,039.46x = 3,057.05 × 854.18
  4. Step 4: Simplify right side
    2,039.46x = 2,611,265.46
  5. Step 5: Solve for x
    x = 2,611,265.46/2,039.46
  6. Step 6: Final answer
    x = 1,280.37

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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.