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Finding the Fourth Proportional to 2,461.88, 3,694.14 and 1,640.60

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Solution

The fourth proportional to 2,461.88, 3,694.14 and 1,640.60 is: 2,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.88 : 3,694.14 = 1,640.60 : x
  2. Step 2: Convert to fraction form
    2,461.88/3,694.14 = 1,640.60/x
  3. Step 3: Cross multiply
    2,461.88x = 3,694.14 × 1,640.60
  4. Step 4: Simplify right side
    2,461.88x = 6,060,606.08
  5. Step 5: Solve for x
    x = 6,060,606.08/2,461.88
  6. Step 6: Final answer
    x = 2,461.78

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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.