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Finding the Fourth Proportional to 3,241, 4,862.37 and 1,294.57

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Solution

The fourth proportional to 3,241, 4,862.37 and 1,294.57 is: 1,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241 : 4,862.37 = 1,294.57 : x
  2. Step 2: Convert to fraction form
    3,241/4,862.37 = 1,294.57/x
  3. Step 3: Cross multiply
    3,241x = 4,862.37 × 1,294.57
  4. Step 4: Simplify right side
    3,241x = 6,294,678.33
  5. Step 5: Solve for x
    x = 6,294,678.33/3,241
  6. Step 6: Final answer
    x = 1,942.20

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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.