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Finding the Fourth Proportional to 2,640.78, 3,644.33 and 1,461.96

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Solution

The fourth proportional to 2,640.78, 3,644.33 and 1,461.96 is: 2,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.78 : 3,644.33 = 1,461.96 : x
  2. Step 2: Convert to fraction form
    2,640.78/3,644.33 = 1,461.96/x
  3. Step 3: Cross multiply
    2,640.78x = 3,644.33 × 1,461.96
  4. Step 4: Simplify right side
    2,640.78x = 5,327,857.38
  5. Step 5: Solve for x
    x = 5,327,857.38/2,640.78
  6. Step 6: Final answer
    x = 2,017.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.