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Finding the Fourth Proportional to 2,101.14, 3,151.31 and 640.31

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Solution

The fourth proportional to 2,101.14, 3,151.31 and 640.31 is: 960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.14 : 3,151.31 = 640.31 : x
  2. Step 2: Convert to fraction form
    2,101.14/3,151.31 = 640.31/x
  3. Step 3: Cross multiply
    2,101.14x = 3,151.31 × 640.31
  4. Step 4: Simplify right side
    2,101.14x = 2,017,796.35
  5. Step 5: Solve for x
    x = 2,017,796.35/2,101.14
  6. Step 6: Final answer
    x = 960.33

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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.