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Finding the Fourth Proportional to 2,638.30, 3,640.08 and 2,195.50

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Solution

The fourth proportional to 2,638.30, 3,640.08 and 2,195.50 is: 3,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.30 : 3,640.08 = 2,195.50 : x
  2. Step 2: Convert to fraction form
    2,638.30/3,640.08 = 2,195.50/x
  3. Step 3: Cross multiply
    2,638.30x = 3,640.08 × 2,195.50
  4. Step 4: Simplify right side
    2,638.30x = 7,991,795.64
  5. Step 5: Solve for x
    x = 7,991,795.64/2,638.30
  6. Step 6: Final answer
    x = 3,029.15

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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.