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Finding the Fourth Proportional to 1,996.64, 2,755.18 and 1,289.51

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Solution

The fourth proportional to 1,996.64, 2,755.18 and 1,289.51 is: 1,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.64 : 2,755.18 = 1,289.51 : x
  2. Step 2: Convert to fraction form
    1,996.64/2,755.18 = 1,289.51/x
  3. Step 3: Cross multiply
    1,996.64x = 2,755.18 × 1,289.51
  4. Step 4: Simplify right side
    1,996.64x = 3,552,832.16
  5. Step 5: Solve for x
    x = 3,552,832.16/1,996.64
  6. Step 6: Final answer
    x = 1,779.41

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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.