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Finding the Fourth Proportional to 2,640.90, 3,648.06 and 2,059.05

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Solution

The fourth proportional to 2,640.90, 3,648.06 and 2,059.05 is: 2,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.90 : 3,648.06 = 2,059.05 : x
  2. Step 2: Convert to fraction form
    2,640.90/3,648.06 = 2,059.05/x
  3. Step 3: Cross multiply
    2,640.90x = 3,648.06 × 2,059.05
  4. Step 4: Simplify right side
    2,640.90x = 7,511,537.94
  5. Step 5: Solve for x
    x = 7,511,537.94/2,640.90
  6. Step 6: Final answer
    x = 2,844.31

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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.