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Finding the Fourth Proportional to 2,134.93, 3,201.27 and 963.91

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Solution

The fourth proportional to 2,134.93, 3,201.27 and 963.91 is: 1,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.93 : 3,201.27 = 963.91 : x
  2. Step 2: Convert to fraction form
    2,134.93/3,201.27 = 963.91/x
  3. Step 3: Cross multiply
    2,134.93x = 3,201.27 × 963.91
  4. Step 4: Simplify right side
    2,134.93x = 3,085,736.17
  5. Step 5: Solve for x
    x = 3,085,736.17/2,134.93
  6. Step 6: Final answer
    x = 1,445.36

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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.