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Finding the Fourth Proportional to 1,977.06, 2,728.05 and 1,092.90

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Solution

The fourth proportional to 1,977.06, 2,728.05 and 1,092.90 is: 1,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.06 : 2,728.05 = 1,092.90 : x
  2. Step 2: Convert to fraction form
    1,977.06/2,728.05 = 1,092.90/x
  3. Step 3: Cross multiply
    1,977.06x = 2,728.05 × 1,092.90
  4. Step 4: Simplify right side
    1,977.06x = 2,981,485.85
  5. Step 5: Solve for x
    x = 2,981,485.85/1,977.06
  6. Step 6: Final answer
    x = 1,508.04

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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.