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Finding the Fourth Proportional to 2,641.53, 3,959.31 and 2,027.82

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Solution

The fourth proportional to 2,641.53, 3,959.31 and 2,027.82 is: 3,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.53 : 3,959.31 = 2,027.82 : x
  2. Step 2: Convert to fraction form
    2,641.53/3,959.31 = 2,027.82/x
  3. Step 3: Cross multiply
    2,641.53x = 3,959.31 × 2,027.82
  4. Step 4: Simplify right side
    2,641.53x = 8,028,768.00
  5. Step 5: Solve for x
    x = 8,028,768.00/2,641.53
  6. Step 6: Final answer
    x = 3,039.44

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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.