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Finding the Fourth Proportional to 2,131.02, 3,194.61 and 832.17

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Solution

The fourth proportional to 2,131.02, 3,194.61 and 832.17 is: 1,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.02 : 3,194.61 = 832.17 : x
  2. Step 2: Convert to fraction form
    2,131.02/3,194.61 = 832.17/x
  3. Step 3: Cross multiply
    2,131.02x = 3,194.61 × 832.17
  4. Step 4: Simplify right side
    2,131.02x = 2,658,458.60
  5. Step 5: Solve for x
    x = 2,658,458.60/2,131.02
  6. Step 6: Final answer
    x = 1,247.51

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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.