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Finding the Fourth Proportional to 1,772.82, 2,659.26 and 540.43

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Solution

The fourth proportional to 1,772.82, 2,659.26 and 540.43 is: 810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.82 : 2,659.26 = 540.43 : x
  2. Step 2: Convert to fraction form
    1,772.82/2,659.26 = 540.43/x
  3. Step 3: Cross multiply
    1,772.82x = 2,659.26 × 540.43
  4. Step 4: Simplify right side
    1,772.82x = 1,437,143.88
  5. Step 5: Solve for x
    x = 1,437,143.88/1,772.82
  6. Step 6: Final answer
    x = 810.65

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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.