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Finding the Fourth Proportional to 1,958.31, 2,936.43 and 862.16

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Solution

The fourth proportional to 1,958.31, 2,936.43 and 862.16 is: 1,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.31 : 2,936.43 = 862.16 : x
  2. Step 2: Convert to fraction form
    1,958.31/2,936.43 = 862.16/x
  3. Step 3: Cross multiply
    1,958.31x = 2,936.43 × 862.16
  4. Step 4: Simplify right side
    1,958.31x = 2,531,657.81
  5. Step 5: Solve for x
    x = 2,531,657.81/1,958.31
  6. Step 6: Final answer
    x = 1,292.78

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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.