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Finding the Fourth Proportional to 2,739.97, 4,111.49 and 1,096.64

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Solution

The fourth proportional to 2,739.97, 4,111.49 and 1,096.64 is: 1,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.97 : 4,111.49 = 1,096.64 : x
  2. Step 2: Convert to fraction form
    2,739.97/4,111.49 = 1,096.64/x
  3. Step 3: Cross multiply
    2,739.97x = 4,111.49 × 1,096.64
  4. Step 4: Simplify right side
    2,739.97x = 4,508,798.35
  5. Step 5: Solve for x
    x = 4,508,798.35/2,739.97
  6. Step 6: Final answer
    x = 1,645.57

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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.