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Finding the Fourth Proportional to 1,996.88, 2,756.34 and 1,200.68

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Solution

The fourth proportional to 1,996.88, 2,756.34 and 1,200.68 is: 1,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.88 : 2,756.34 = 1,200.68 : x
  2. Step 2: Convert to fraction form
    1,996.88/2,756.34 = 1,200.68/x
  3. Step 3: Cross multiply
    1,996.88x = 2,756.34 × 1,200.68
  4. Step 4: Simplify right side
    1,996.88x = 3,309,482.31
  5. Step 5: Solve for x
    x = 3,309,482.31/1,996.88
  6. Step 6: Final answer
    x = 1,657.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.