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Finding the Fourth Proportional to 2,195.63, 3,293.44 and 734.79

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Solution

The fourth proportional to 2,195.63, 3,293.44 and 734.79 is: 1,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.63 : 3,293.44 = 734.79 : x
  2. Step 2: Convert to fraction form
    2,195.63/3,293.44 = 734.79/x
  3. Step 3: Cross multiply
    2,195.63x = 3,293.44 × 734.79
  4. Step 4: Simplify right side
    2,195.63x = 2,419,983.10
  5. Step 5: Solve for x
    x = 2,419,983.10/2,195.63
  6. Step 6: Final answer
    x = 1,102.18

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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.