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Finding the Fourth Proportional to 3,297.88, 4,941.86 and 1,447.24

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Solution

The fourth proportional to 3,297.88, 4,941.86 and 1,447.24 is: 2,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.88 : 4,941.86 = 1,447.24 : x
  2. Step 2: Convert to fraction form
    3,297.88/4,941.86 = 1,447.24/x
  3. Step 3: Cross multiply
    3,297.88x = 4,941.86 × 1,447.24
  4. Step 4: Simplify right side
    3,297.88x = 7,152,057.47
  5. Step 5: Solve for x
    x = 7,152,057.47/3,297.88
  6. Step 6: Final answer
    x = 2,168.68

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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.