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Finding the Fourth Proportional to 1,996.57, 2,755.68 and 1,199.93

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Solution

The fourth proportional to 1,996.57, 2,755.68 and 1,199.93 is: 1,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.57 : 2,755.68 = 1,199.93 : x
  2. Step 2: Convert to fraction form
    1,996.57/2,755.68 = 1,199.93/x
  3. Step 3: Cross multiply
    1,996.57x = 2,755.68 × 1,199.93
  4. Step 4: Simplify right side
    1,996.57x = 3,306,623.10
  5. Step 5: Solve for x
    x = 3,306,623.10/1,996.57
  6. Step 6: Final answer
    x = 1,656.15

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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.