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Finding the Fourth Proportional to 2,623.87, 3,940.19 and 1,638.98

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Solution

The fourth proportional to 2,623.87, 3,940.19 and 1,638.98 is: 2,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.87 : 3,940.19 = 1,638.98 : x
  2. Step 2: Convert to fraction form
    2,623.87/3,940.19 = 1,638.98/x
  3. Step 3: Cross multiply
    2,623.87x = 3,940.19 × 1,638.98
  4. Step 4: Simplify right side
    2,623.87x = 6,457,872.91
  5. Step 5: Solve for x
    x = 6,457,872.91/2,623.87
  6. Step 6: Final answer
    x = 2,461.20

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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.