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Finding the Fourth Proportional to 2,016.54, 3,025.99 and 1,127.82

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Solution

The fourth proportional to 2,016.54, 3,025.99 and 1,127.82 is: 1,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.54 : 3,025.99 = 1,127.82 : x
  2. Step 2: Convert to fraction form
    2,016.54/3,025.99 = 1,127.82/x
  3. Step 3: Cross multiply
    2,016.54x = 3,025.99 × 1,127.82
  4. Step 4: Simplify right side
    2,016.54x = 3,412,772.04
  5. Step 5: Solve for x
    x = 3,412,772.04/2,016.54
  6. Step 6: Final answer
    x = 1,692.39

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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.