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Finding the Fourth Proportional to 1,956.43, 2,934.24 and 1,033.03

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Solution

The fourth proportional to 1,956.43, 2,934.24 and 1,033.03 is: 1,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.43 : 2,934.24 = 1,033.03 : x
  2. Step 2: Convert to fraction form
    1,956.43/2,934.24 = 1,033.03/x
  3. Step 3: Cross multiply
    1,956.43x = 2,934.24 × 1,033.03
  4. Step 4: Simplify right side
    1,956.43x = 3,031,157.95
  5. Step 5: Solve for x
    x = 3,031,157.95/1,956.43
  6. Step 6: Final answer
    x = 1,549.33

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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.