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Finding the Fourth Proportional to 2,372.41, 3,266.49 and 1,951.41

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Solution

The fourth proportional to 2,372.41, 3,266.49 and 1,951.41 is: 2,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.41 : 3,266.49 = 1,951.41 : x
  2. Step 2: Convert to fraction form
    2,372.41/3,266.49 = 1,951.41/x
  3. Step 3: Cross multiply
    2,372.41x = 3,266.49 × 1,951.41
  4. Step 4: Simplify right side
    2,372.41x = 6,374,261.25
  5. Step 5: Solve for x
    x = 6,374,261.25/2,372.41
  6. Step 6: Final answer
    x = 2,686.83

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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.