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Finding the Fourth Proportional to 1,822.67, 2,733.29 and 711.56

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Solution

The fourth proportional to 1,822.67, 2,733.29 and 711.56 is: 1,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.67 : 2,733.29 = 711.56 : x
  2. Step 2: Convert to fraction form
    1,822.67/2,733.29 = 711.56/x
  3. Step 3: Cross multiply
    1,822.67x = 2,733.29 × 711.56
  4. Step 4: Simplify right side
    1,822.67x = 1,944,882.61
  5. Step 5: Solve for x
    x = 1,944,882.61/1,822.67
  6. Step 6: Final answer
    x = 1,067.05

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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.