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Finding the Fourth Proportional to 3,297.98, 4,946.85 and 1,323.02

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Solution

The fourth proportional to 3,297.98, 4,946.85 and 1,323.02 is: 1,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.98 : 4,946.85 = 1,323.02 : x
  2. Step 2: Convert to fraction form
    3,297.98/4,946.85 = 1,323.02/x
  3. Step 3: Cross multiply
    3,297.98x = 4,946.85 × 1,323.02
  4. Step 4: Simplify right side
    3,297.98x = 6,544,785.27
  5. Step 5: Solve for x
    x = 6,544,785.27/3,297.98
  6. Step 6: Final answer
    x = 1,984.48

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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.