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Finding the Fourth Proportional to 1,956.90, 2,934.39 and 968.57

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Solution

The fourth proportional to 1,956.90, 2,934.39 and 968.57 is: 1,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.90 : 2,934.39 = 968.57 : x
  2. Step 2: Convert to fraction form
    1,956.90/2,934.39 = 968.57/x
  3. Step 3: Cross multiply
    1,956.90x = 2,934.39 × 968.57
  4. Step 4: Simplify right side
    1,956.90x = 2,842,169.46
  5. Step 5: Solve for x
    x = 2,842,169.46/1,956.90
  6. Step 6: Final answer
    x = 1,452.38

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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.