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Finding the Fourth Proportional to 1,998.41, 2,996.54 and 765.56

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Solution

The fourth proportional to 1,998.41, 2,996.54 and 765.56 is: 1,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.41 : 2,996.54 = 765.56 : x
  2. Step 2: Convert to fraction form
    1,998.41/2,996.54 = 765.56/x
  3. Step 3: Cross multiply
    1,998.41x = 2,996.54 × 765.56
  4. Step 4: Simplify right side
    1,998.41x = 2,294,012.35
  5. Step 5: Solve for x
    x = 2,294,012.35/1,998.41
  6. Step 6: Final answer
    x = 1,147.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.