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Finding the Fourth Proportional to 1,855.20, 2,780.60 and 759.28

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Solution

The fourth proportional to 1,855.20, 2,780.60 and 759.28 is: 1,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.20 : 2,780.60 = 759.28 : x
  2. Step 2: Convert to fraction form
    1,855.20/2,780.60 = 759.28/x
  3. Step 3: Cross multiply
    1,855.20x = 2,780.60 × 759.28
  4. Step 4: Simplify right side
    1,855.20x = 2,111,253.97
  5. Step 5: Solve for x
    x = 2,111,253.97/1,855.20
  6. Step 6: Final answer
    x = 1,138.02

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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.