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Finding the Fourth Proportional to 3,175.44, 4,764 and 984.24

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Solution

The fourth proportional to 3,175.44, 4,764 and 984.24 is: 1,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.44 : 4,764 = 984.24 : x
  2. Step 2: Convert to fraction form
    3,175.44/4,764 = 984.24/x
  3. Step 3: Cross multiply
    3,175.44x = 4,764 × 984.24
  4. Step 4: Simplify right side
    3,175.44x = 4,688,919.36
  5. Step 5: Solve for x
    x = 4,688,919.36/3,175.44
  6. Step 6: Final answer
    x = 1,476.62

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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.