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Finding the Fourth Proportional to 2,943, 4,414.50 and 1,644.57

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Solution

The fourth proportional to 2,943, 4,414.50 and 1,644.57 is: 2,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943 : 4,414.50 = 1,644.57 : x
  2. Step 2: Convert to fraction form
    2,943/4,414.50 = 1,644.57/x
  3. Step 3: Cross multiply
    2,943x = 4,414.50 × 1,644.57
  4. Step 4: Simplify right side
    2,943x = 7,259,954.27
  5. Step 5: Solve for x
    x = 7,259,954.27/2,943
  6. Step 6: Final answer
    x = 2,466.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.