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Finding the Fourth Proportional to 3,294.27, 4,941.27 and 1,444.37

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Solution

The fourth proportional to 3,294.27, 4,941.27 and 1,444.37 is: 2,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.27 : 4,941.27 = 1,444.37 : x
  2. Step 2: Convert to fraction form
    3,294.27/4,941.27 = 1,444.37/x
  3. Step 3: Cross multiply
    3,294.27x = 4,941.27 × 1,444.37
  4. Step 4: Simplify right side
    3,294.27x = 7,136,997.44
  5. Step 5: Solve for x
    x = 7,136,997.44/3,294.27
  6. Step 6: Final answer
    x = 2,166.49

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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.