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Finding the Fourth Proportional to 1,996.66, 2,755.74 and 1,300.06

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Solution

The fourth proportional to 1,996.66, 2,755.74 and 1,300.06 is: 1,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.66 : 2,755.74 = 1,300.06 : x
  2. Step 2: Convert to fraction form
    1,996.66/2,755.74 = 1,300.06/x
  3. Step 3: Cross multiply
    1,996.66x = 2,755.74 × 1,300.06
  4. Step 4: Simplify right side
    1,996.66x = 3,582,627.34
  5. Step 5: Solve for x
    x = 3,582,627.34/1,996.66
  6. Step 6: Final answer
    x = 1,794.31

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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.