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Finding the Fourth Proportional to 1,782.82, 2,674.43 and 743.52

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Solution

The fourth proportional to 1,782.82, 2,674.43 and 743.52 is: 1,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.82 : 2,674.43 = 743.52 : x
  2. Step 2: Convert to fraction form
    1,782.82/2,674.43 = 743.52/x
  3. Step 3: Cross multiply
    1,782.82x = 2,674.43 × 743.52
  4. Step 4: Simplify right side
    1,782.82x = 1,988,494.05
  5. Step 5: Solve for x
    x = 1,988,494.05/1,782.82
  6. Step 6: Final answer
    x = 1,115.37

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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.