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Finding the Fourth Proportional to 3,175.96, 4,763.96 and 867.48

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Solution

The fourth proportional to 3,175.96, 4,763.96 and 867.48 is: 1,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.96 : 4,763.96 = 867.48 : x
  2. Step 2: Convert to fraction form
    3,175.96/4,763.96 = 867.48/x
  3. Step 3: Cross multiply
    3,175.96x = 4,763.96 × 867.48
  4. Step 4: Simplify right side
    3,175.96x = 4,132,640.02
  5. Step 5: Solve for x
    x = 4,132,640.02/3,175.96
  6. Step 6: Final answer
    x = 1,301.23

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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.