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Finding the Fourth Proportional to 3,297.75, 4,946.56 and 1,323.82

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Solution

The fourth proportional to 3,297.75, 4,946.56 and 1,323.82 is: 1,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.75 : 4,946.56 = 1,323.82 : x
  2. Step 2: Convert to fraction form
    3,297.75/4,946.56 = 1,323.82/x
  3. Step 3: Cross multiply
    3,297.75x = 4,946.56 × 1,323.82
  4. Step 4: Simplify right side
    3,297.75x = 6,548,357.93
  5. Step 5: Solve for x
    x = 6,548,357.93/3,297.75
  6. Step 6: Final answer
    x = 1,985.71

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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.