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Finding the Fourth Proportional to 1,855.31, 2,782.96 and 759.07

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Solution

The fourth proportional to 1,855.31, 2,782.96 and 759.07 is: 1,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.31 : 2,782.96 = 759.07 : x
  2. Step 2: Convert to fraction form
    1,855.31/2,782.96 = 759.07/x
  3. Step 3: Cross multiply
    1,855.31x = 2,782.96 × 759.07
  4. Step 4: Simplify right side
    1,855.31x = 2,112,463.03
  5. Step 5: Solve for x
    x = 2,112,463.03/1,855.31
  6. Step 6: Final answer
    x = 1,138.61

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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.