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Finding the Fourth Proportional to 1,939.20, 2,908.80 and 785.76

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Solution

The fourth proportional to 1,939.20, 2,908.80 and 785.76 is: 1,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.20 : 2,908.80 = 785.76 : x
  2. Step 2: Convert to fraction form
    1,939.20/2,908.80 = 785.76/x
  3. Step 3: Cross multiply
    1,939.20x = 2,908.80 × 785.76
  4. Step 4: Simplify right side
    1,939.20x = 2,285,604.14
  5. Step 5: Solve for x
    x = 2,285,604.14/1,939.20
  6. Step 6: Final answer
    x = 1,178.64

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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.