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Finding the Fourth Proportional to 1,992.59, 2,989.37 and 676.33

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Solution

The fourth proportional to 1,992.59, 2,989.37 and 676.33 is: 1,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.59 : 2,989.37 = 676.33 : x
  2. Step 2: Convert to fraction form
    1,992.59/2,989.37 = 676.33/x
  3. Step 3: Cross multiply
    1,992.59x = 2,989.37 × 676.33
  4. Step 4: Simplify right side
    1,992.59x = 2,021,782.28
  5. Step 5: Solve for x
    x = 2,021,782.28/1,992.59
  6. Step 6: Final answer
    x = 1,014.65

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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.