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Finding the Fourth Proportional to 2,356.38, 3,535.09 and 796.32

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Solution

The fourth proportional to 2,356.38, 3,535.09 and 796.32 is: 1,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.38 : 3,535.09 = 796.32 : x
  2. Step 2: Convert to fraction form
    2,356.38/3,535.09 = 796.32/x
  3. Step 3: Cross multiply
    2,356.38x = 3,535.09 × 796.32
  4. Step 4: Simplify right side
    2,356.38x = 2,815,062.87
  5. Step 5: Solve for x
    x = 2,815,062.87/2,356.38
  6. Step 6: Final answer
    x = 1,194.66

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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.