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Finding the Fourth Proportional to 4,562.28, 6,843.76 and 1,640.60

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Solution

The fourth proportional to 4,562.28, 6,843.76 and 1,640.60 is: 2,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.28 : 6,843.76 = 1,640.60 : x
  2. Step 2: Convert to fraction form
    4,562.28/6,843.76 = 1,640.60/x
  3. Step 3: Cross multiply
    4,562.28x = 6,843.76 × 1,640.60
  4. Step 4: Simplify right side
    4,562.28x = 11,227,872.66
  5. Step 5: Solve for x
    x = 11,227,872.66/4,562.28
  6. Step 6: Final answer
    x = 2,461.02

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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.