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Finding the Fourth Proportional to 1,992.50, 2,988.34 and 759.48

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Solution

The fourth proportional to 1,992.50, 2,988.34 and 759.48 is: 1,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.50 : 2,988.34 = 759.48 : x
  2. Step 2: Convert to fraction form
    1,992.50/2,988.34 = 759.48/x
  3. Step 3: Cross multiply
    1,992.50x = 2,988.34 × 759.48
  4. Step 4: Simplify right side
    1,992.50x = 2,269,575.63
  5. Step 5: Solve for x
    x = 2,269,575.63/1,992.50
  6. Step 6: Final answer
    x = 1,139.06

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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.