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Finding the Fourth Proportional to 1,956.54, 2,933.43 and 981.97

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Solution

The fourth proportional to 1,956.54, 2,933.43 and 981.97 is: 1,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.54 : 2,933.43 = 981.97 : x
  2. Step 2: Convert to fraction form
    1,956.54/2,933.43 = 981.97/x
  3. Step 3: Cross multiply
    1,956.54x = 2,933.43 × 981.97
  4. Step 4: Simplify right side
    1,956.54x = 2,880,540.26
  5. Step 5: Solve for x
    x = 2,880,540.26/1,956.54
  6. Step 6: Final answer
    x = 1,472.26

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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.