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Finding the Fourth Proportional to 1,480.95, 2,043.77 and 982.73

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Solution

The fourth proportional to 1,480.95, 2,043.77 and 982.73 is: 1,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.95 : 2,043.77 = 982.73 : x
  2. Step 2: Convert to fraction form
    1,480.95/2,043.77 = 982.73/x
  3. Step 3: Cross multiply
    1,480.95x = 2,043.77 × 982.73
  4. Step 4: Simplify right side
    1,480.95x = 2,008,474.29
  5. Step 5: Solve for x
    x = 2,008,474.29/1,480.95
  6. Step 6: Final answer
    x = 1,356.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.