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Finding the Fourth Proportional to 1,956.12, 2,934.84 and 859.92

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Solution

The fourth proportional to 1,956.12, 2,934.84 and 859.92 is: 1,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.12 : 2,934.84 = 859.92 : x
  2. Step 2: Convert to fraction form
    1,956.12/2,934.84 = 859.92/x
  3. Step 3: Cross multiply
    1,956.12x = 2,934.84 × 859.92
  4. Step 4: Simplify right side
    1,956.12x = 2,523,727.61
  5. Step 5: Solve for x
    x = 2,523,727.61/1,956.12
  6. Step 6: Final answer
    x = 1,290.17

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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.