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Finding the Fourth Proportional to 2,027.57, 2,796.61 and 1,959.83

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Solution

The fourth proportional to 2,027.57, 2,796.61 and 1,959.83 is: 2,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.57 : 2,796.61 = 1,959.83 : x
  2. Step 2: Convert to fraction form
    2,027.57/2,796.61 = 1,959.83/x
  3. Step 3: Cross multiply
    2,027.57x = 2,796.61 × 1,959.83
  4. Step 4: Simplify right side
    2,027.57x = 5,480,880.18
  5. Step 5: Solve for x
    x = 5,480,880.18/2,027.57
  6. Step 6: Final answer
    x = 2,703.18

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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.