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Finding the Fourth Proportional to 1,956.04, 2,934.03 and 786.02

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Solution

The fourth proportional to 1,956.04, 2,934.03 and 786.02 is: 1,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.04 : 2,934.03 = 786.02 : x
  2. Step 2: Convert to fraction form
    1,956.04/2,934.03 = 786.02/x
  3. Step 3: Cross multiply
    1,956.04x = 2,934.03 × 786.02
  4. Step 4: Simplify right side
    1,956.04x = 2,306,206.26
  5. Step 5: Solve for x
    x = 2,306,206.26/1,956.04
  6. Step 6: Final answer
    x = 1,179.02

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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.