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Finding the Fourth Proportional to 1,957.24, 2,936.09 and 861.47

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Solution

The fourth proportional to 1,957.24, 2,936.09 and 861.47 is: 1,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.24 : 2,936.09 = 861.47 : x
  2. Step 2: Convert to fraction form
    1,957.24/2,936.09 = 861.47/x
  3. Step 3: Cross multiply
    1,957.24x = 2,936.09 × 861.47
  4. Step 4: Simplify right side
    1,957.24x = 2,529,353.45
  5. Step 5: Solve for x
    x = 2,529,353.45/1,957.24
  6. Step 6: Final answer
    x = 1,292.31

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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.