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Finding the Fourth Proportional to 4,614.25, 6,922.47 and 1,494.25

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Solution

The fourth proportional to 4,614.25, 6,922.47 and 1,494.25 is: 2,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.25 : 6,922.47 = 1,494.25 : x
  2. Step 2: Convert to fraction form
    4,614.25/6,922.47 = 1,494.25/x
  3. Step 3: Cross multiply
    4,614.25x = 6,922.47 × 1,494.25
  4. Step 4: Simplify right side
    4,614.25x = 10,343,893.33
  5. Step 5: Solve for x
    x = 10,343,893.33/4,614.25
  6. Step 6: Final answer
    x = 2,241.73

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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.