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Finding the Fourth Proportional to 2,640.91, 3,644.40 and 1,461.97

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Solution

The fourth proportional to 2,640.91, 3,644.40 and 1,461.97 is: 2,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.91 : 3,644.40 = 1,461.97 : x
  2. Step 2: Convert to fraction form
    2,640.91/3,644.40 = 1,461.97/x
  3. Step 3: Cross multiply
    2,640.91x = 3,644.40 × 1,461.97
  4. Step 4: Simplify right side
    2,640.91x = 5,328,003.47
  5. Step 5: Solve for x
    x = 5,328,003.47/2,640.91
  6. Step 6: Final answer
    x = 2,017.49

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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.